Thank you Chris for your response. And I believe the christening records you found are correct! After posting my query on this site, I set about researching all the children in census & found one of George's daughters, born in France living with her uncle Thomas. A further study of the 1841 census indicates I was probably incorrect about the Thomas I found with a Thomas I presumed was his father.
After a thorough study in LDS, my notes on George are: Without reference to parish records, it is not possible to determine his parentage. However, there is a John Hawkins shown in the Kintbury pages of the 1841 Census; he was shown as age 65, born 'in county' as was his wife Elizabeth age 62. Charles Hawkins age 17, born 'out of county' is with the couple. A christening is shown in IGI for John Hawkins on 20 October 1776, at Kintbury, Berkshire, parents Thomas & Ann. There is a marriage recorded in IGI between John Hawkins & Elizabeth Amey Harris in Kintbury on 24 October 1801.
John was the name of George's first son & the names George, Thomas & John continued through several generations.
Thank you so very much for looking up the PR records of the two brothers; I note you say there were other christenings to this couple & would be most grateful for a list of these to aid my research of the family.
Aren't I lucky John & Elizabeth were the only Hawkins couple having children at the time! Ramsbury, Wilts where the brother's wives were born has numerous Hawkins families!
Very many thanks for your interest
Margaret