I like to re-work pistols like that. Brown the bbl., strip & re-finish stock, tighten and go over the whole thing. Thanks for posting, looks like you'll have fun with this. Appears to be .40 or .45 cal.
I've used Citri Strip a lot. I do it outside where I can hang the item up; the drips, etc., are messy. (Newspapers to catch 'em). Have done at least three stocks, wipe with damp cloth to clean; soaking will warp wood. There's spray and bottle, spray is handier. If stock has modern "plastic" type finish, takes a couple or three treatments. Eye protection, too!A good stripper is CITRUS STRIP. Takes old varnish and stain off pretty quickly. Be careful though. I found that gloves are a must and standard surgical type gloves ( the common blue type )will not hold up to it. You need a better type that is acid resistent and make sure you are well ventilated.