I am descended from Sophia lint and Peter Hays as well. Paul and I have been in contact. It appears that Sophia's parents were ? Lint and ? Blackhart. My great uncle tried to find the correct Lint and Blackhart back in the 1970's when he was doing genealogy. He was never able to prove which Lint or which Blackhart was the correct one mostly because women's and children's names were not given in the pre 1850 census. Both of these family names have webpages with lots of info. on them. Maybe with what you have gathered you may make a connection.