Little Pianist (Part 2)

I have recorded two videos of Jerilyn playing the piano.

#1 shows Jerilyn playing three songs without the help of books. Can you figure out what are the songs?


#2 shows Jerilyn singing while playing a song. She has just started doing this recently. I encouraged her to sing and play because she is not very good with timing. I figured that singing some of the known nursery rhymes might help with her timing. It doesn't help with all the songs but I am pleased that she could read the 'lyrics' and play simultaneously. It's not like she sings Mary Had a Little Lamb or Twinkle, Twinkle Little Star. An unfamiliar song like this looks like a piece of cake to her.