There is a Mary Elizabeth Simpson listed in the April to June 1884 birth index, West Ward, Westmorland volume 10b page 715.

In the 1891 census living at 11 Isley? Place, Workington.
Head, George Simpson age 30, born at Cumberland England, steelworks labourer.
Wife, Mary Simpson age 32, born at Penrith.
Children Thomas W. Simpson age 8, born at Barton Northumberland,
Mary E. Simpson age 7, born at Barton Northumberland,
Sarah A. Simpson age 4 born at Barton Northumberland,
John Simpson age 2 born at Barton Northumberland and
Joseph Simpson age 5 months, born at Workington.

In the 1901 census living at 51 Mill Street, Penrith, ecclesiatical parish Penrith St Andrew.
Mary Simpson age 72, widow, living on own means, Longmartin, Westmoreland.
Grand daughter Mary Elizabeth Simpson age 17, born at Barton, Westmorland.

In the 1911 census 51 Mill Street, Penrith, Cumberland.
Head Mary Simpson, age 82, widow, she was married 42 years, she had 5 children born alive, 1 was still living, private means, born Longmarton.
Grandaughter [as spelled] Mary E. Simpson, age 27, single, born Yanwath, Westmorland.
The house had 5 rooms. The signature was Agnes Briggs for Mary Simpson.

Mary Elizabeth Simpson mentioned in her father’s probate records as living at Penrith, Cumberland on March 14, 1913.