There is a stock repair area on this web site that deals with repairing almost any kind of break. The moderator, candyman, did this for a living for a very long time. He knows his stuff. He repaired a very badly used stock for me and it is great.
I've always had good luck with E-poxy but whatever you use, it should be water proof. I had a carpenter friend that fixed a chair seat with a different type of glue designed for strength. Part A was a thin clear liquid which made it easy to get in the crack. Part B was in a spray can. after applying Pt A he just shot a short spray of Pt B on the cracked area and it magically was immediately set up and stronger than the unbroken wood.
"War is an ugly thing, but not the ugliest of things. The decayed and degraded state of moral and patriotic feeling, which thinks nothing is worth war, is worse. A man who has nothing which he cares more about than his own personal safety is a miserable creature, and has no chance of being free unless he is made free and kept so by the exertions of better men than himself" John Stuart Mill
A government which robs Peter to pay Paul can always depend on the support of
Good advise here. Do some research ---you might want a different glue if the wood is oily.
Clamping. Can be an issue on gunstocks, not many flat surfaces and the clamps themselves
can mar the wood. Use surgical tubing. Wrap it tight, it's exerts a huge amount of force without
concentrating it on one spot.