"The Cregan White Hare" is the Tyrone Cregan, a verse of the song would indicate this, as all of the placenames are in County Tyrone,

"And some jolly sportsmen came down from Pomeroy,
Dungannon and Cookstown and likewise the Moy,
With their pedigree hounds which they brought from afar,
And they landed in Cregan in their fine motor-cars".

The late Sean Dynes did a fine recording thirty years ago. Ard Mhacha.