Yes, that is him and what is really interesting on this, is that we have some rather high DNA matches to descendants of this Thompson family (who also match the Bedford descendant), so the plot absolutely thickens with it all. Its a real boggle.
I believe that one of these Bedford boys is the biological father to my Nan. My Mum has a first-ish cousin match to Stanley Bedford's granddaughter, so I initially thought that he was the father but he was married and doesn't appear to have ever left Ireland so thought that it was more likely to be a brother of his. There are some clear questions regarding this Thompson relationship and have managed to rule out my DNA matches other grandfather because of this Thompson link the evidence is quite strong.