Let us try to help with identifying the Elizabeth Collingridge that Jonosue seeks.
Thomas Clark Hicks married Elizabeth Collingridge of Godington on 11 April 1809 by licence at Godington, witnesses were Elizabeth White and Henry Collingridge.
There were eight other Collingridge marriages in Godington, the earliest was between 1763 and 1765, the uncertainty because the incumbent forgot to enter the year, and the last was the Hicks/Collingridge marriage. Only four of the eight Collingridge marriages involved a male Collingridge so we have four contenders for parents/grandparents of Elizabeth who married in 1809 so was born I surmise between 1775 and 1790. Because they were Roman Catholics I can find no baptisms. The most likely ancestors appear to be Henry & Elizabeth (nee White) married in Codington on 11 October 1766. Elizabeth left a long rambling will proven in 1806 which can be accessed on Ancestry, from which I learned of her son James and granddaughter Elizabeth. I could not find a convincing marriage for James in Oxfordshire and it seems that he probably died in 1803.
Without baptismal records I fear I am stuck.
Reverting to Thomas Clark Hicks, he was baptised in Bicester on 29 december 1782, the son of William & Mary (nee Clark). They had married in Chesterton in November 1779. Thomas & Elizabeth's son, Thomas, seems to have been baptised on 17 January 1810 in Bicester.