Theres somthing strange about the markings on this action. The star afetr III has a A in it. I've had a look at some other MkIII* Lithgow actions and they are normal like these with solid lines through the centre. I think this action started life as a MkIII unfinished action and then it was given a star with a similar stamp.
Well spotted but not uncommon, would appear the early 1941 MkIII*s were marked the same way, i have 2, heres some pics of 1.