There is a baptism for a
Mary Teddeman on 26 Feb 1711 at Harbledown. Parents Thomas and Mary.
Also there are baptisms for
Mary Tiddeman 1712 Lower Hardres, No Parents shown.
Mary Tittyman 28 Jan 1717 at Canterbury Parents William and Sarah.
Mary Titteman 08 Oct 1724 at Lyminge Parents Thomas and Mary.
Source FindMyPast.
Could be one of these. Good luck

PS:- Having checked and found one instance that states she was a widow when marrying Basil. checking for previous marriages she may have been born Mary Collier.
There is a Marriage for an Edward Tiddeman to Mary Collier at Newchurch, Ss Peter & Paul on 10 Nov 1735.
This could well tally with Baptism for Mary Collier at Newchurch, Ss Peter & Paul 6 January 1711 Parents Jeremiah and Mary.