Gentlemen,
I gave the 10 22 to a friend of mine that knows a gun-smith. He had to mill the head off, then heat it up because apparently loc-tite WAS used. After heated-up, he drilled into the remaining screw shaft and then removed the shaft. He crafted a "blued-screw" and it fits perfectly. Now I can consistently remove the stock to properly clean my rifle.
Well, I have appreciated all your help, and if someone else has the same problem in the future, hopefully this post can help them.
Many thanks,
tstex