Having a recusant/catholic connection in the Thames Valley, your post rang a few bells, so I did a little bit of looking for you.
George and Frances had children George and Frances...

Georgius bn 22/4/1790 bp 25/4/1790 Brambridge RC Hamps (IGI batch P017141)
Francisca bn 19/8/1785 bp 23/8/1785 Brambridge RC Hamps (same batch)
A George Goldfinch is Bondsman to :-
William Page. lab. 29. bach.
Ann Goldfinch 27. spin.
25/7/1791 @ Owslebury
mentioned.. South Stoneham, Twyford Hamps.
also to:-
Joseph Collins farmer. 21. bach. Kingsclere.
Frances Goldfinch. 21. spin. @ Owslebury..
5/5/1810
This time as Yeo.
Then a George Goldfinch. 50. W. of Owslebury.
Elizabeth Linkhorn.50.spin. of Twyford Hamps
@Twyford Hamps 8/7/1810
The Mildmay family have a survey of lands held in the villages mentioned. Records at Hampshire records office.
Brambridge to Gilbert Welles in 1636, (fn. 33) and his widow married Sir William Courtenay, who was a recusant
From: 'Parishes: Owslebury', A History of the County of Hampshire: Volume 3 (1908), pp. 332-335. URL:
http://www.british-history.ac.uk/report.aspx?compid=41990 Date accessed: 21 April 2010.

Lesanne