This was probably a rhyme used by men sawing large logs of wood using two-handled saws, in order to keep their timing. Margery was a name used by poor country folk in the 18th and 19th centuries, and Daw meant an untidy person.
Originally published in 1765, today, this nursery rhyme is used by children in playgrounds often while playing on the seesaw.
See Saw Margery Daw Lyrics
See-saw, Margery Daw,
Jacky shall have a new master;
Jacky shall have but a penny a day
Because he can’t work any faster.