Hi Richie- I have been interested in a Maine version printed in the recent British Ballads from Maine (Second Series) Barry , Eckstorm, Smyth edited by Pauleena MacDougall

There are 5 versions noted here, the last being a fragment Sent in March 1928 by Mrs Nellie Fogg, Dover Foxcroft, Maine who heard it as a child but could remember only one stanza.

Young Jimmie being a-fowling with his dog and his gun
He shot lovely Mollie at the setting of the sun
her apron being around her, he shot her for a fawn
But alas! unto his grief, it was his own Molly Bawn

The other version are all swans.I thought it was odd that someone "fowling" would be hunting deer, but put the "mistake" up to the fact that
a) We have no swans in Maine and
b)People are often admonished not to wear white during hunting season as the flash of the white-tailed deer's "flag" has caused many hunters to shoot. In fact several years ago there was a terrible tragedy where a woman wearing white mittens was shot by mistake.

Upon seeing your contribution of the broadside from Belfast, however,I'm thinking it this may be the vestige of an Ulster tradition in Maine. We did have a substantial influx of Scots Irish immigrants here