The information that I have for George Elkington born 7th Dec 1650 is as follows:- Parents are Joseph b.12th June 1608 d. 4th Feb 1686/7 who married Ann (Surname unknown).She died 23 May 1674/5. Their children were: Josheph b. abt 1640 William b. 1645 George b.1650 Elizabeth B.1651 Ann b.1657 Mary b.1661 Richard b.1663
Joseph's parents were William and Alice Woodhull (William's third wife, she was also a widow). They were married in Mollington on 13th May 1588. (By the way Mollington and Cropredy are less that 2 miles apart)
William's parents were Richard and Alice (surname unknown) This Richard was born in Cropredy in abt.1505 and died 31st March 1558.
That is as far as I go at this time - hope that it of some use.