I probably learned this one from the Home Service (which became radio 4) programme Listen with Mother
This is the way the ladies ride, trit trot trit trot trit trot trit trot This is the way the ladies ride, trit trot trit trot trit trot

This is the way the gentlemen ride, ? jig jog? etc

This is the way the farmers ride, galop galop etc

This is the way the old men ride, hobble di hobble di hobble do hobble di
And down into a ditch.