This is what I can make out from just listening to the Makem Clancy version:

Maggie Pickens Bought a coat hairy tail and hairy troat [?????]
Brought her home in Murphy's boat
Maggie Pickens churnin'
Magie Pickens ???
??????? Murphy's hay
Maggie ????

Maggie Pickens had a duck
Had the very worst of luck
Tried to swim but didn't ??
Maggie Pickens laughin'
Maggie Pickens bought a drake
Put him out upon the lake
The duck she followed in his wake
Maggie's standin next't'm

Maggie Pickens ???
Started at the harvest dance
She thought she'd never have a chance
Maggie Pickens courtin'
Maggie Pickens always said
She didn't think she'd ever wed
She's in love with Little Ted
Maggie's gettin' wed Ted

Any corrections or real lyrics would be very helpful. :)

♣Iona