[The series and its rules are explained here, where you will also find links to the songs for the other states.]
19:1. The Lady Is A Tramp: 'As I hitched and hiked and grifted too from Maine to Albuquerque'. (1, 2, 3 three minutes in.)
19:2. King of the Road: 'Destination Bangor, Maine'. (1, 2.)
19:3. Two for the Road: 'To the east of Portland, Maine'. (1.)
19:4. Jacques et Gilles: 'So they go and cut the lumber in Maine'. (1 scroll down.)
19:5. The Maine Stein Song: 'Fill the steins to dear old Maine'. (1, 2.)
19:6. Rhode Island Is Famous For You: 'Lobsters come from Maine'. (1, 2, 3, 4.)
19:7. New England: 'I have seen old Israel's arid plain / It's magnificent, but so's Maine'. (1, 2.)
19:8. Idaho: 'Hey Maine hey, you're a little too high for me'. (1, 2.)
19:9. The Reach: 'It's Maine... and it's Autumn'. (1, 2, 3.)
19:10. Mason Dixon Lines: 'From northern Maine down to Palestine, Texas'. (1, 2.)
19:11. Going To Maine: 'Let's go to Maine out on the East Coast'. (1, 2, 3, 4.)