POINTS definitely has a point.
The "Lee" in "Lee-Enfield" refers to the type of ACTION: rear-locked, 60-degree bolt turn, #### on closing. Take a LEE rifle and put an ENFIELD barrel (deep rifling, 5 grooves, lands and grooves equal width, 1 turn in 10 inches, Left-hand) onto it and you have a proper "Lee-Enfield". In wartime they were made with anything from 2 to 6 grooves, but that was wartime.
The P.-'14 rifle is the PATTERN OF 1914 rifle which was DESIGNED at Enfield, starting with an 1895 Mauser. It has an extremely-robust Mauser action: 90-degree turn, locking lugs at the FRONT with ####-on-close, a superior APERTURE rear sight, a vastly improved safety and a heavy Enfield-type barrel. The British were attempting to build the PERFECT bolt-action rifle (after getting their butts shot off by Mausers in South Africa and then on their own rifle ranges by the ROSS).... and many people still think that they did so. This is the result.
BOTH are historically interesting, both can be just wizard accurate (although the P-14 is easier to tune) and they take the same ammo..... which is a perfect ballistic duplicate for the M-118 Sniper loading for the 7.62NATO. Either one is nothing to sneeze at.
You could be sitting on a very real Diamond of a rifle.