Hi CF , Nearly all the Sporters we call "Lee Speeds" are made by BSA & so marked on the butt socket , very few were made by LSA .

Most were made & finished by BSA in different grades , lots of different looks .

I believe some , very few , would have been stocked & sights added by another company eg: Greener

If you mean this rifle it has a different look to most of the straight BSA models , but will be maked BSA almost for sure .

If the Greener has been rebarreled , why does the # number on the barrel match the bolt ?

If you have a pic of the Greener Im sure some one will by able to help you .