Mitty Matty had a hen
She laid eggs for gentlemen
Sometimes nine and sometimes ten
Mitty matty's fine fat hen!
Here's another version from Ireland from "The Counting-out Rhymes of Children" (1888) by Henry Carrington Bolton:
Mitty Matty had a hen,
She lays white eggs for gentlemen.
Gentlemen come every day,
Mitty Matty runs away.
Hi! ho! who is at home?
Father, mother, Jumping Joan.
Take off the latch and walk out.
Thanks and Acknowledgements
The illustration comes from "The Lullaby : With Original Engravings" (c1851). It was graphically edited by Mama Lisa.