Old nursery rhymes? if anybody remembers?

found an old childhood keyboard of mine and the childrens songs sound farmiliar but there at the tip of my tounge and i dont know exactly where there from. All of them seem to follow similar tones anyways.

So please, does anybody know the songs from:

0:13

2:14

link to the keyboard songs: https://www.youtube.com/watch?v=GMN_nTkCNFM

If you can name any other songs, feel free to. I just need to know what those two songs are since they stuck out to me the most looking through it. Thank you!