Dave,
I am trying to remember of hand but I think it was the 1851 census which said West Melton and I am sure I found her baptism on a website but senior moment strikes.
Her father was John Tingle and her mother was Ann.
I shall scour my info again as its a long time since I looked at the family tree with this person in it. Its only because I was at a family gathering at the weekend that I have revisited this tree.
She married Samuel Atkin (born 1837 Staffordshire) on 16th may 1864 at Wath Upon Dearne and died in Sheffield in 1887.
john and anne tingle had 3 children on 1851 Census in Rotherham. Martha was the youngest born abt 1844 in BRAMPTON. Her 2 older siblings were born Bolton on Dearne.
All 3 have baptisms on FMP, Martha in Wath on Dearne Bap 8 Oct 1843, Charles and Hannah in Bolton on Dearne in 1841 and 1839 respectively. In all cases Father John, Mother Anne
There is no birth reg for Martha, but her 2 siblings are on GRO index with MMN WINDLE.
Dec 3 1838 John Tingle married Anne Windle in Bolton on Dearne (FMP)
Dave
FamilySearch.org has this baptism record
https://www.familysearch.org/ark:/61903/1:1:66BZ-GVSK
Name Martha Tingle
Father's Name John
Father's Sex Male
Mother's Name Anne
Mother's Sex Female
Event Type Baptism
Event Date 8 Oct 1843
Event Place Wath upon Dearne, Yorkshire, England, United Kingdom
Event Place (Original) Wath upon Dearne, Yorkshire (West Riding), England
There is an image and it adds the abode: Coaly Lane. Father is a labourer
Wath upon Dearne is 2½-3 miles from West Melton by car or about a mile as the crow flies.
There are numerous family trees at Ancestry for the Timothy Uttley who died 1895. The one I looked at claims his spouse is Hannah Ogden, with children born 1856-1874.
I See your Timothy Hutley (as written by enumerator) is last on a census with Harriet in 1871. She is recorded as married in 1881 and widow 1891.