The River Shannon flows like my true love's hair

I'm currently on location in Iowa (don't ask), so in order to make up for the lack of updating over the past few days, here's a little quiz:

Which of these are actual Irish songs and which ones are titles Molly and I made up the other night while drinking?

1. Who threw the overalls in Mistress Murphy's Chowder
2. I'll drink me stout til the River Shannon runs dry
3. The dear little shamrock
4. I nearly ran me pushcart over Mrs. O'Halloran yester morn
5. Where the River Shannon flows
6. Ay, when I'm sober, I could mistake ye for Kathleen
7. A little bit of heaven (shure they call it Ireland)
8. To me whiskey I'll be true until the morning sun rises
9. Ireland must be a garden (if you are a wild Irish rose)
10. Why must ev'ryone pick on dear ol' Eire, when me lovely Maggie lives there?
11. Rory O'More
12. Hennigan, I'll clip ye with me mug if ye calls me Welsh once more
13. O Katy O'Neil
14. O'Flynn has trodden in me shamrock garden
15. Nellie Kelly, I love you
16. Would I could return to the dear old sod, alas me wife won't go
17. The prayties are dug
18. It's me penny whistle, ere it cost me a quarter
19. Get up old woman and shake yourself
20. Hi-dee-hee-dee-too-la-deedle-die-day
21. Smash the windows
22. He wore a fine hat like an Englishman so I hit him with me shillaleagh
23. Behind the bush in the garden
24. Paddy O'Malley would be a fine lad for our Katy O'Rourke

I'm not offering any prizes or anything, because I'm sure it would be really easy to google the answers, but please post your best guesses as a comment.