Its not a
Lithgow
as there is no shield on the wrist and no 7 pointed star with A in it (See pics of my 1916 Lithgow.), it looks like an enfield to me has the correct back sight as the windage sights were I think deleted about the same time as the mag cut offs around mid 1916 could be wrong probably am, furniture looks great though may need a drink of 50/50 RLO (Raw
linseed oil
) & Mineral Turpentine usually best done with the wood off the rifle so you can get into the under areas you can also check for rust ect on the under barrel ect then coat it in the appropriate grease reassemble and away you go.
Now a quiet word a correct period sling will set you back a pretty penny I brought a black (Period correct) 1916 Wrights sling and it stung the wallet badly but I was on a quest to get my 1916 back to how it was in the day almost everything has the star on it but what a slog thankfully the main components were original to the rifle (Barrel change in 1937), anyway I digress be mindful of how far you want to go.
An EFD Pattern '07 bayonet in good condition with good scales (Grips) probably set you back a bit but bargains are out there here they are fetching $240 - $290+/AUD with the correct scabbard tear drop, the wide piling swivel go for $45+/Aud if you do get a sling make sure its not a Bren gun sling they are too long the clasps nearly touch each other when tightened up anyway use the search function top Rt on the home page for all the info on the 303's welcome to the club and you'll never stop at one its called Enfielditis and allot of us here have it......good luck!