Pics seem to show a military LSA action (London Small Arms) from a Magazine Lee Enfield MkI (L.E. I)
What missing from the socket marking is the Crown/VR and the mfg'r date. But I think the engraving was done to nicely cover those areas where that info was removed.

These MkI MLE rifles were made from 1895 into late 1899 when the pattern was changed to the MkI*.


On the left side of the socket the rear volley sight and spring would have been in place on a military rifle. It's cut at the upper portion w/ pivot and the spring retainer screw hole may have been filled and engraved over. I think I can see that in the pic but w/o seeing something like that in hand or with better closeups,,it's all just a guess.

A carbine action would have avoided the need as they didn't have volley sights, but the action would have been marked L.E.C on the right side (Lee enfield Carbine) instead of L.E.

Everything else looks pretty much Lee sporter. I'm used to seeing a vernier on the rear sight base but there are so many sight combinations, who knows what to expect on these.
The stock and forend look as if they could be on any other Lee Sporter I've seen.

The bolt dust cover is missing. Maybe purposely if the lugs on the boltbody are trimmed so it can't be attached. Not everyone liked those and they do have a habit of falling free if not tensioned correctly.

I'm told LSA did build some of the Lee Sporters. Question is wether they used a commercial marked action (I always assumed they did,,bad to assume). Perhaps they did not. BSA use a commercial marked and proofed action & bbl.
When that question is answered, then you'll have a better idea wether Greener built/sporterized an X-military rifle, or retailed an LSA built Sporter.

Nice rifle any way you look at it IMHO.