Good Morning To All is a very special song. Oh yes, it is a nice song, but it is not because of that it is a "famous" nursery rhymes. The main reason it is famous, is because it is the "mother of" the most sung English song in the world - Happy Birthday To You.
The American sisters Patty and Mildred Hill wrote Good Morning To All in 1893 as a song they thought the kids would find easy to sing. And we guess they were right about that! Agree?