The births of her children were both registered with a mother's maiden name of Oscroft so I'd take that as the primary spelling.
||HATFIELD, ANN ELIZABETH
|GRO Reference: 1854 J Quarter in OF ECCLESALL BIERLOW Volume 09C Page 198|
|GRO Reference: 1860 M Quarter in ECCLESALL BIERLOW Volume 09C Page 212|
"England and Wales Marriage Registration Index, 1837-2005," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:26WR-RXZ : 13 December 2014), Edward Hadfield, 1847; from "England & Wales Marriages, 1837-2005," database, findmypast (http://www.findmypast.com : 2012); citing 1847, quarter 1, vol. 22, p. 433, Sheffield, Yorkshire, England, General Register Office, Southport, England