I appear to be a little late to this conversation, but hope there might be some members of this forum that are still active.
I am also trying to find information on Thomas Weldon Tarlton born in Ireland around 1795. As Maureen mentioned, he had a son of the same name as well as one named William Digby. In addition, there were several other children, one of which was Robert Deverell Francis, who is my great great grandfather.
I have not been able to trace back further than Thomas Weldon Tarlton, and would be very grateful for some information on him.
Stephen