The one song I think you are referring to is "Union Maid" which is in our database (to the tune of "Red Wing"). I haven't seen the movie in quite awhile, so the other song could be any number of Woody's songs.CLICK HERE to go to a site with some good info about Woody.
A very good lyric site for a lot of Woody's songs can be found by CLICKING HERE
Good Luck and welcome to Mudcat......If we can help in any other ways, please let us know!
Spaw