The Older DAR records weren't verified and I don't think actual documentation was turned in with the application, therefore, there were inaccuracies.
I did a search for Sophia in Ancestry and the Carr Surname Database family tree appeared. It says that her father Samuel was born 1769 in Warren, Bristol, RI and died 1820 in Warren. It also lists her mother too.
They have included their sources but you'll want to look them up again because only the source is provided and when you click on it, the actual document does not appear.
I hope this works out, because trying to find record on a woman before 1850 is very difficult. Successful Searching!