Okay I make Timothy our ggg grandfather as well so that's another piece of the puzzle - subject to checking of course! The Daniel Linehan in the 1911 census is the second one i.e. Timothy's grandson. That would make him my great grandfather and your great granduncle I think. His father was Daniel (the first) who was Michael's brother?
Anyway I attach a photograph of Daniel (the second) with his daughter (according to the back of the photo) probably taken around 1905? Just a guess based on her looks. She would have been 26 then. Perhaps it was taken around the time of her marriage in 1908?
That's it for now. All the best.