There's an Ann Morley born in Bottesford in 1797 to Martin and Frances; good chance those would be her parents too. With those two names you might be able to hone in using other sources - one or other parent may end up living with Jane by the time of the 1841 census, or there may be a will or wills that mention her.
"England Births and Christenings, 1538-1975," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:N6ZW-HHJ : accessed 22 February 2016), Ann Morley, 24 Feb 1797; citing Bottesford, Lincoln, England, reference ; FHL microfilm 1,450,414.
Flixborough registers, online images
http://www.lincstothepast.com/Records/RecordDisplaySearchResults.aspx?oid=520341&mode=c (NB the first register baptisms 1813-1947 doesn't seem to work; possibly because they shouldn't be putting 1947 baptisms online!)
Bottesford registers online images
http://www.lincstothepast.com/Records/RecordDisplaySearchResults.aspx?oid=562608&mode=c
(this site has a wealth of records online ie lots of the other types of parish records, it does take a bit of patience working through the various levels of indexing to find them)