Archaeologist, here.
Flint and stone tools have been around for the better part 1.8 million years until the advent of metal smelting technologies around 8000 years ago. North American Indians used stone tools until white folks started showing up in the mid-1500s, and even then used them until metal tools were widely available and traded through the 1600s, and even then stone tools weren't done away with. For example, I worked a site in North Mississippi where we found a French trade bead (1700s) alongside plenty of stone flakes and a handful of arrowheads.
If you want to see some nifty stone tools look up anything from the Mississippian era. There's an awesome coffee table book called Hero, Hawk, and Open Hand that showcase some of the master craftsmanship of that era.
As far as skinning is concerned, we find a pile of stone implents used. Everything from big bifaces "knife blades" to smaller, scalpel-like blades a couple inches long. It's one of those use-what-you-got-when-you-need-it situations.
Not sure if that answered your question.
TLDR. Stone tools have been used a lot. Basically every culture at some point in time had them. Pick a date range and an indigenous people then look at their stone artifacts.
Best of luck,
RM