The outside water spigot for the garden hose leaks. I like to replace the washer. But one of the nuts is frozen with paint. The first nut comes of easy,I guess that just the "packing nut". It does not release the stem.
The second nut is frozen solid, I think that will release the stem.
I'v soak it in W2-40 but to no avail.

I just leaned it a sill cock, it all one piece. It threaded onto a galvanize pipe. Its all been
Painted over by the previous owner. First step I guess is to remove the paint

I would try a pipe wrench. This is a tool that is usually used by plumbers. If you don't have one, you might be able to borrow one from someone.

What brand is your spigot? I don't remember any second nut on the Woodford ones I have. Can you post a picture? A pipe wrench often means chewing up the nut if it is out where you can reach it or twisting something off. You are often much better off hammering or heating a stubborn nut a little to loosen it.

1st nut came off and we both assume that would be the packing nut, after that the stem just don't pull out you must also unscrew it then you can replace washer and inspect the valve seat and be sure its smooth. Remember to have the stem open all the way before you tighten the packing nut because you could bend the stem.

Here is the picture

http://img262.imageshack.us/my.php?image=fac001sa0.jpg
The outside water spigot for the garden hose leaks. I like to replace the washer. but one of the nuts is frozen with paint. The first nut comes of easy,I guess that just the "packing nut". It does not release the stem.
The second nut is frozen solid, I think that will release the stem.
I'v soak it in W2-40 but to no avail.

I just leaned it a sill cock, it all one piece. it threaded onto a galvanize pipe. its all been
painted over by the previous owner. first step I guess is to remove the paint

I have seen the picture that you have posted on the other site. I would still give a pipe wrench a try. It doesn't look like any marks left by a pipe wrench are going to matter. The marks left will be minimal anyway.