Thanks for your help folks, I was wondering if I had found Elliotts Lesser micrometer!!
Michael, thanks for the link, I had seen that, I cannot be sure if mine was made by Elliott before the brothers came on board. There is a big space between the Elliot and London on one side of the frame, maybe room enough for Bros, but it is worn there. The whole thing is made of nickel silver apart from the screws. There is also a ratchet on the end of the thimble.
On the other side it looks like the owners name has been hand engraved, but the text is worn on the middle, it could read T? O'Gorman or Goeman. could this be a famous engineer?
I also found out the Museum of the History of Science at the Ashmolean, Oxford has the Elliott archives and many instruments they made back in the day, but my initial search could not find a micrometer like this one.
Chris Gunn