Hi
I have looked in the Kidlington PR's and there is no baptism for your Hanah.
Her marriage is there and it was by Lic Ex, the Ex denotes that the marriage was most likely carried out in Exeter College Oxford as the vicar was officiating at both.
There are 2 baptisms for Winslow;
Ann d o Samuel 2 Feb 1734
Susannah d o Samuel 10 Dec 1737
There are two marriages. One = yours and the 2nd William Winslowe to Ellen Brownericke 11 Aug 1589
Burials well there are three
Susannah d o Sanuel 26 Dec 1737
Elizabeth 14 Jan 1738
Samuel 30 Sept 1739
I'm not sure this will help you but it may fit later, and does at least eliminate some queries.
Personally it appears to me that Hannah may have been a daughter of Samuel but she may also have been his sister?
The Winslow family do not seem to have originated in Kidlington.
Good luck
NDRFT