...I have repaired all sorts of stocks in all sorts of conditions for myself and others for 20 years...I never use glue any more but only epoxy...East System epoxy is less expensive and is made for, among other applications, wooden boats. A gallon is about $100 and lasts for years and years if the components are kept correctly (sealed in large, separate plastic bags). One guy ran over his stock with his truck and it splintered. I was able to piece things back together enough and epoxy it and you really couldn't even tell. I also use it for fill sometimes, but try and mix it with chips/dust, and when sanded will dull enough to fairly match its surroundings, even when an oil finish is applied...and the epoxy is strong enough that when I haven't been able to get rid of all previous oils and have had to remove a bit of wood, that if clamped tightly enough will not loosen later on...
Good luck...