Just wanted to update everyone on this thread....for the line of Joshua Smith and Mary Elizabeth Tinkham, in just one hour's time, I was able to link them all the way back to the Mayflower. Through Mary Tinkham, there is a connection to Peter Browne, one of the Mayflower Passengers!

Peter Browne's daughter, Mary, married Ephraim Tinkham. Tinkham was probably originally Tinkecombe which appears to be Welsh in origin.

How exciting!