Terry,
The Camping and Caravanning Club site is at Chadlington,Chipping Norton.
The Caravan Club have two sites which would also suit you.
1.Moreton in the Marsh
2.Burford.
We have stopped at Moreton,which is a very popular site,therefore booking is essential.
Burford we have been to see,and it is up to the usual standards that we expect on Club sites.Burford village is a pretty place to explore.
So,take your pick....but book early.