The book is available at Project Gutenberg (I have not checked for other online sources). There's also a free audiobook at LibriVox!
Table of Contents
Sing a Song o' Sixpence
The Story of Little Boy Blue
The Cat and the Fiddle
The Black Sheep
Old King Cole
Mistress Mary
The Wond'rous Wise Man
What Jack Horner Did
The Man in the Moon
The Jolly Miller
The Little Man and His Little Gun
Hickory, Dickory, Dock
Little Bo-Peep
The Story of Tommy Tucker
Pussy-cat Mew
How the Beggars Came to Town
Tom, the Piper's Son
Humpty Dumpty
The Woman Who Lived in a Shoe
Little Miss Muffet
Three Wise Men of Gotham
Little Bun Rabbit