There was a Jane Weston, baptised in Tipperary Church of Ireland (anglican) on the 30 jul 1820 of William and Jane Weston (mother's maiden names were not recorded on early protestant baptism. She had 8 or 9 siblings.
The Church of Ireland records for part of Tipperary are in the Bolton Library in Cashel.
If you are still looking for those records, get in touch.
Cecile Mulcahy