Name and birth yea from The Danbys by Selby Whittingham.

Jamaica Birth Records
Patricia Anderson Cocks, born March 22 1921, Brown’s Town, Saint Ann, Jamaica, father Gilbert Anderson Cocks, mother Gladys May Shaw-Allen

UK Outward Passenger Lists
Departed October 15, 1923 on the Patuca from Bristol, England destination Kingston, Jamaica.
Gilbert Anderson Cocks of Upton Harsell Ridgeway, Woking, Surrey, first class, innkeeper, age 34, country of last permanent residence British Possession, country of intended permanent residence Jamaica.
Wife Gladys May Cocks, age 31, country of last permanent residence British Possession.
Daughter Patricia Anderson Cocks, age 2, country of last permanent residence British Possession.
Son Frank Peter Anderson Cocks, age 1, country of last permanent residence British Possession.

UK Outward Passenger Lists
Departed October 16 1928, Avonmouth, England on the Patuca, destination Kingston, Jamaica, 1st class, last address in UK Upton, Horsell, Ridgeway, Woking
Gladys May Cocks, wife of under, age 36
Gilbert Anderson Cocks, planter, age 39,
Patricia Anderson Cocks, daughter of Above, age 7
Frank Peter Cocks, son of the above, age 6

UK Incoming Passenger Lists
Arrived Southampton, England August 8 1932 on the Tainui from Jamaica
Gilbert A. Cocks, planter, Upton Harrell Ridgeway, Working [Woking], age 42, permanent residence Jamaica
Gladys M. Cocks, age 40
Patricia Cocks, age 11
Frank P.Cocks, age 10

UK Incoming Passenger Lists
Departed Kingston, Jamaica on the Jamaica Progress, arrived London, England on September 19, 1933.
Frank Robert Cocks, Upton Horsell, Woking, 1st class, Clerk in Holy Orders, age 76, country of last permanent residence England. [Grandfather]
Patricia Anderson Cocks, Winchester House, St. Leonard’s on Sea, school, 12 1/2, country of last permanent residence Jamaica.
Frank Peter S. A. Cocks, Old School House, Holt, Norfolk, school, age 11, country of last permanent residence Jamaica.