last name could be De Rozario, Delozario, De Rozio or Derozio

Some possibilities in the India Select Deaths and Burials
Maria D'Rozario, Burial Date: 07 Jul 1799, Burial Place: Calcutta, Bengal, India, Race: White
Mary D'Rozario, Burial Date: 19 Dec 1806, Burial Place: Fort William, Bengal, India
Mary D'Rozario, Burial Date: 06 Jul 1811, Burial Place: Calcutta, Bengal, India, , Race: White
Maria D'Rozario, Burial Date: 25 Aug 1812, Burial Place: Fort William, Bengal, India, Race: White
Maria D'Rozario, Burial Date: 16 Oct 1812, Burial Place: Fort William, Bengal, India, Race: White
Maria D'Rozario, Burial Date: 19 Nov 1817, Burial Place: Calcutta, Bengal, India, Race: White
Mary D'Rozario, Burial Date: 29 May 1822, Burial Place: Calcutta, Bengal, India
Maria D'Rozario, Burial Date: 03 Mar 1827, Burial Place: Calcutta, Bengal, India, Race: White
Note:
1) The above entries seem to indicate there were a number of Derozarios in the Calcutta area which includes Fort William.
2) That Mary or Maria was a common name among that family.
3) This Mary Derozario was not married to Edward Woodin, but may have married afterwards and would have had a different last name.
4) She may have moved with Edward Woodin to Dacca, Bengal (now Dhaka, Bangladesh) and be buried there and would not appear in the above entries in India. This seems unlikely as he had several children with his housekeeper after Anne was born.

There seems to be Derozarios or De Rozarios influential in India
Examples
1) A book entitled
The Complete Monumental Register: Containing all the Epitaphs,inscriptions etc. in different Churches and Burial Grounds, in and about Calcutta; . . .
by M. Derozario, Calcutta,
Printed by P. Ferris, 1815
Two entries are as follows
Mr. Peter Derozario - Departed this life at Calcutta, on Monday the 20th April 1807. He was attacked in the midst of apparent health, by a sickness which terminated fatally within the short period of little more than three weeks. His remains was interred the same evening, at the Portuguese Old Burial Ground, Boita-khonna
Mr P.V. Derozario - A young Man: aged 20 years and some months; his affability, kind engaging manners, and interesting vivacity, having gained the esteem and friendship of all who knew him; his loss will be much regretted by his relations and friends. He departed this Life at Calcutta, on Sunday the 30th December, 1810; and was interred the same evening at the Portuguese Old Burial Ground, Boita-khonna.
2) Henry Louis Vivian Derozio 1809 to 1831 - Indian Poet and assistant headmaster of Hindu College, Kolkata. His parents were Francis Derozio, a Christian Indo-Portuguese office worker [Francis was born a year after Mary, so possibly he is a brother or couysin], and Sophia Johnson Derozio, an Englishwoman. His original family name was 'De Rozario'.
Wikipedia; https://en.wikipedia.org/wiki/Henry_Louis_Vivian_Derozio

A possible match is as follows
Parish Records St. Ann, Blackfriars, London
Baptism April 13, 1755, Edward Woodin son of Henry and Jane Woodin.
[The birth year seems appropriate.] [The year and London matches the year and location from the Fennel Family Tree by Jennifer J.]

British in India Directory
Edward Woodin, secretary to Mr. Taylor Commercolly [Kumarkali, Kushtia district, Khulna Division, Bangladesh from Fennel Family Tree], Lord Holland 1771

The East India Register and Directory 1804
Bengal, European Inhabitants
Gibson, Robert, taylor Cossitollah street, Calcutta, 83
Gibson, George, coach-maker and undertaker, ditto
Gibson, William
Gibson, Charles W. mariner
Gibson, John Europe shopkeeper, ditto, 81
. . .
Wooden, E. Dacca

His will dated June 7 1814, begins
In the Name of God Amen I Edward Woodin residing in the City of Dacca in the Province of Bengal being in an indifferent state of Health, but of Sound and disposing mind and memory and being desirious to Settle my Worldly affairs whilst I have strength and capacity to do so make and Publish my last Will and Testament . . .
he mentions
his dearly beloved sister Susanna Jones of the City of London in the Kingdom of Great Britain
his daughter Anne Gibson [age 26] [nee Woodin] is provided for by Marriage, yet as a Mark of Paternal Affection for her Exemplary character as daughter, mother and wife I give and bequeath to her the sum of Five Thousand Calcutta Sicca Rupees
Betty his housekeeper
his Natural born daughters Mary Woodin [age 20] and Elizabeth Woodin [age about 17] and Natural born son Thomas Woodin [age 19]
[Since he leaves his household possessions equally to his housekeeper Betty and his natural children Mary, Elizabeth and Thomas, this seems to imply they are a family unit - probably mother and children, or the housekeeper acted as the mother or nanny to his children born of locals. Another family historian states the baptismal record of these three children does not give a mother, while his older daughter Anne’s mother is given as Mary Derozanio.]
Robert Gibson [son in law, his daughter Anne’s husband]
George Chisholm, Town of Calcutta, Merchant [the executor?]
Natural Born Son William Woodin [age 22]
Edward Woodin departed this life June 20, 1814

In the statement of his goods dated August 2 1814 he is referred to as a British Subject and a resident of Dacca in the province of Bengal.
[It would seem he was either born in Great Britain or his parents were British.]

Lists of Inscriptions on Tombs or Monuments in Bengal, C. R. Wilson 1876
English Cemetery, Dacca, Bengal [Now Dhaka, Bangladesh]
Sacred the the memory of Mr. Edward Woodin, who departed this life on the 20th June 1814, Aged sixty-seven years.

from https://en.banglatribune.com/Journey/news/89713/Colonial-structures-in-Dhaka
Colonial structures in Dhaka
Dhrubo Alam
Published : 19:10, Jan 24, 2020 | Updated : 19:14, Jan 24, 2020
Dhaka, a city with 400 years of rich history and heritage, has surprisingly lower number of colonial structures when compared with Kolkata. The city evolved from a military outpost to a trading post and finally the Mughal capital of Bengal. As a trade and production centre, the city was bustling with businessmen from many countries and race. Almost all the European merchants and their respective ‘East India Companies’ at least had a factory here. Most of them also settled here and erected quite a few structures in the city. Nevertheless, the city still has few of them and remaining, scattered in different areas. Some of them, which deemed prominent and fairly significant in the history of Europeans in Dhaka; are featured in this article.
and
English Cemetery of Narinda
The Anglican cemetery is situated in the then Northeast corner of the city, present day Narinda. It was consecrated by bishop Heber in 1824. He described it as being about a mile distance from the inhabitants and inhabited portion of the city; surrounded by the wilderness or jungle. He saw elephants with 'mahouts' roaming around in that area. The cemetery still had plenty of space back then and was tastefully laid out with avenues.
The most prominent object is a 'moorish' Gateway which now stands almost at the centre of the enclosure and a monument which was known as 'Mr Colombo's Tomb' to the locals. The original cemetery must have been considerably larger and had more tombstones.  It is unknown from when the cemetery was there. It is shown as a burial ground in the Rennell's map (1780-1781). There are few plaques which were from 1724-1725, so it can be assumed that, the place has been used as a cemetery from late seventeenth or early eighteenth century. 
[If this is the same cemetery in which Edward Woodin was buried, it was concecrated 10 years after his burial.]

see wikipedia: https://en.wikipedia.org/wiki/Christian_cemetery,_Dhaka