Rem-Oil is my go-to gun oil, I absolutely love that stuff.
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Best way to clean the wood is with a heat gun it pulls all that nasty crap right out just wipe off the beads with a paper towel. As for the barrel use a 3 inch piece of PVC pipe cut to length (might be 2 inch I really can't remember just use whichever one is a tighter fit) drop the barrel in and top it right off with mineral spirits. As for the trigger assembly and everything else metal take a small Tupperware and put some more in there and let them all soak for a while. Then oil all the metal well because the mineral spirits just suck everything out of all the metal.
Gasoline is good for making things go, but not a good choice for a cleaning solvent. It will probably ruin the wood's finish. Let the fumes get away from you and it can ruin your whole day. Just a little mineral spirits will work and it won't ruin the finish. I have not tried the simple green, but I like that idea better than the mineral spirits. Any alcohol will certainly ruin the wood's finish as it is shellac, and alcohol soluable.
"It is better to be too skeptical then too credulous"
I just used WD40. I have used WD40 on all kinds of cosmoline packed guns. Everything from a 91/30 to SKS's and no damage to the wood or finish. Time I shot the gun enough to get the sights set the WD40 was gone. By the time I had shot the gun enough to decide if it was a keeper I cleaned it like the rest of my guns.