Here goes my lord
A trot, a trot, a trot, a trot,
Here goes my lady
A canter, a canter, a canter, a canter!
Here goes my young master
Jockey-hitch*, jockey-hitch, jockey-hitch, jockey-hitch!
Here goes my young miss
An amble, an amble, an amble, an amble!
The footman lags behind to tipple** ale and wine,
And goes gallop, a gallop, a gallop, to make up his time.
*To jockey is to ride a horse like in a race as if you're a jockey. To hitch is to raise with a jerk. So I believe jockey-hitch describes riding a horse quickly, yet, fitfully up and down.
This rhyme can be found in The Real Mother Goose (1916), illustrated by Blanche Fisher Wright.