NFHS has her name as Ane Whicker, looking at your clipping I think this is just possibly a mangled attempt at writing the surname. Godfrey is quite an unusual name there are only 69 baptisms with the father as Godfrey between 1685 and 1705 and of course some of them baptised more than one child.
Are you saying your only interest in Godfrey was the fact you thought Ann was his daughter? And the OP now has no relevance as you are not interested in Godfreys wife?
As you say Godfreys daughter Ann was buried in Nottingham St Nicholas 28-12-1725.
The only other baptism coming up for me is Nottingham, St Mary
19-8-1706 Ann dau of John & Ann WHITAKER
There are 7 baptisms at St Nicks for children with parents Joseph & Ann Warsop.