Elizabeth Carrick nee Graham is my three times great grandmother. She was born in Blencogo in 1837. I know this is classed as Bromfield, Wigton.
The only information I have is what I can get from Ancestry. I have managed to narrow it down to two births.
Is this your Elizabeth on 1871 and 1881 census?
Dean Street, Linthorpe, Stockton, Yorkshire,
Edward Carrick Head 1839 Blacksmith Mugton, Cumberland
Elizabeth Carrick Wife 1837 Mugton, CumberlandHannah G Carrick Daughter 1859 Carlisle, Cumberland
Edward Carrick Son 1860 Wigtown, Cumberland
Charles Carrick Son 1860 Wigton, Cumberland >recorded as Charles but should name be Charlotte

Thomas Carrick Son 1865 Wigton, Cumberland
Mary J Carrick Daughter 1869 Wigton, Cumberland
William Carrick Son 1871 Middlesbro, Yorkshire
Is this daughter Hannah’s birth entry, can’t see a birth registered with surname Carrick for Hannah G
GRAHAM, HANNAH -
GRO Reference: 1861 J Quarter in WIGTON Volume 10B Page 462
6, Reeds Lane, Wigton, Cumberland
Edward Carrick Head Married 1838 Blacksmith & whitesmith Wigton, Cumberland
Elizabeth Carrick Wife Married 1836 Baker Blencogo, CumberlandMary J Carrick Daughter 1869 Wigtown , Cumberland
John Thomas Carrick Son 1873 Dalston, Cumberland
Joseph Carrick Son 1874 Dalston, Cumberland
Mary Eliz Carrick Daughter 1877 Dalston, Cumberland
Hannah
Graham Visitor Single 1847 Housekeeper (d s) Wigton, Cumberland
Did they marry have not found a marriage entry

Do you know if or where they married? A marriage certificate hopefully would confirm her fathers name
This looks to be Edward Carrick on 1861 census married to Mary
Station Hill, Wigton, Cumberland
Edward Carrick Head Married 1838 Blacksmith Wigton, Cumberland
Mary Carrick Wife Married 1838 Blacksmith wife Wigton, Cumberland
Edward Carrick Son 1860 Wigton, Cumberland
Charlotte Carrick Daughter 1860 Wigton
GRO indexes shows mmn Pearson for Edward & Charlotte
added - Carrick/Pearson marriage entry Mar 1859 Wigton, 1862 death Mary Carrick age 24