Interestingly, this rhyme also exists as I Had a Little Boy and Called Him Blue Bell.

I Had a Little Dog and His Name Was Blue Bell - English Children's Songs - England - Mama Lisa's World: Children's Songs and Rhymes from Around the World  - Intro Image

Notes

*Container for holding coal and used to pour the coal on the fire to heat a house.

Thanks and Acknowledgements

This rhyme can be found in The Mother Goose; Containing All The Melodies The Old Lady Ever Wrote, edited By Dame Goslin (1850).