Hi in the 51 census living with her mother Mary and her sister Ann under the name Park in Carlisle she was born about 1831 Carlisle
For others looking to help the 1851 census
https://www.familysearch.org/ark:/61903/1:1:SGKY-BYG (on original entry Mary & Ann's pob dittoed Scotland Piece:2430 Folio:375 Page 12)
Mary PARK Head Wid 52 winder for weaver
Ann Daughter Mar 29 machine winder
Mary Daughter Mar 20 Carlisle, Cumberland, machine winderThomas Thompson Grand Son 9 Carlisle, Cumberland
William Thompson Grand Son 7 Carlisle, Cumberland
Are Thomas & William Thompson Ann's children?
THOMPSON, THOMAS ELLICE
mmn PARKGRO Reference: 1841 D Quarter in CARLISLE Volume 25 Page 68
THOMPSON, WILLIAM
mmn PARKGRO Reference: 1843 D Quarter in CARLISLE Volume 25 Page 59
jakpeterDo you know the name of Mary's father?
Do you have the Park family on the 1841 census?
maybe she got married in 48 then
Marriages Dec 1848
PARK Mary Carlisle 25 82
other persons named on Dec 1848
FORSTER Francis
McInnsaby Elizabeth
Mealy Mary
REYNOLDS Garrett
Scott Mary
WALKER James
WILMOTT Thomas
I can't see a transcription of the 1848 marriage
GRO indexes have these birth entries but you would have thought William would be on 1851 census
WALKER, WILLIAM
mmn PARK GRO Reference: 1849 D Quarter in CARLISLE Volume 25 Page 83
WALKER, JOHN
mmn PARK GRO Reference: 1852 D Quarter in CARLISLE Volume 10B Page 331
I cannot tell you if it relates to the 1848 marriage of Mary Park to a possible James Walker
You would need to obtain the 1848 marriage certificate to confirm details