I know this one from the time when I had a yacht in the 1970s, along with the faster rhythm of 'haul'em away.

there was
Hetty Hawkins ey-oh cheerly man
In her white stockings ey-oh cheerly man
Beats all at knocking ey-oh
Cheerly man oh
Haul a ey-oh ho! cheerly man.

The two chanteys had similar but not entirely interchangeable words, for instance

little Delis Ducket, haul em away
washes in a bucket haul em away
she's a whore but doesn't look it, haul em away
haul a hay ho, haul em away

doesn't fit into cheerly man's rhythm.