I have 3 LCS 2 16 ga and a 410 on the right barrel it has LC Smith on the left barrel it has Hunter Arm Onthe right barrel. It dose have a hunter one trigger. I don't know if the stock was original and how rare is the 410 ?

Most certainly not an original stock Jack, and it appears to have a Hawkins Model 32 pad which was introduced in the early 40s. The stock could be a Pachmayr upgrade.
It has also been reblued, and the frame and sideplates blued rather than case colored.

A Research Letter should confirm the original configuration, grade, number of that grade, and DOM
https://lcsca.clubexpress.com/content.aspx?page_id=22&club_id=43784&module_id=245742

I'd say your gun is so rare that it'd be classified as a "One-Off"; as there's simply not another Smith .410 like yours. As Doc Drew noted, your gun is a total after-market restoration and the stock and metal finishes do not resemble factory work at all. Don't know when your stock was replaced, but for a while in the 1950's and 1960's it was considered fashionable to restock a vintage double gun with maple (usually birds-eye or flame figured wood); then enhancing same with non-original checkering patterns and designs. The skip-line checkering seen on your gun was quite popular; and was even used on some new factory production rifles during this period, but never on a Smith gun. I'm assuming your gun is a Field Grade; and if it is, the grade ID should be roll stamped atop the right barrel. The Hunter One-trigger unit was an extra cost option; and if yours's is indeed a Field Grade, the fore arm escutcheon indicates this gun is also equipped with extra cost optional auto-ejectors; both options not very common on Smith Field Grade .410 shotguns. But if your gun is a higher Grade than Field, it would have had the forend release escutcheon whether it was equipped with auto ejectors or not.

Thanks for the reply. Funny thing all my LC Smiths have the same kind of stocks. The 16 Ga I have two one is 28" barrels and one with 26 barrels shorted butt stock also. I was told it was a pair gentleman and ladies gun.

Please review
https://members.boardhost.com/lcsmith/msg/1525210007.top