From an article in the Seanchas Ardmhacha 1958,
Patrick Donnelly was born in 1649 in the parish of Desertcreat County Tyrone. He was ordained by Oliver Plunkett.
The conclusion of the article confirms that Bishop Donnelly ended his days in the south Armagh area,

   Dr Donnelly remained on in his cabin at the foot of Slieve Gullion in County Armagh until he died in 1716, his body was brought back at night to his to his native Desertcreat in County Tyrone where he was buried.