Aha, found more Thomas/Jane births, dating back to their marriage.
Mary Ann (1805)
Elizabeth (1807)
Sophia (1813)
John (1815)
Margaret (1817)
Thomas (1819)
William (1822)
- yet no Jane to be found.
Also discovered a 'Jane Evars' born in January 1778 in Claverley, Shropshire, very near Wolverhampton, parents named William and Margaret Evars.