AnthonyThompson knocked over a couple of frees for Glenties, for whom young Darragh Gallagher scored an excellent point at the start of the second period.
Naomh Conaill were threatening to run riot in the first half as Dara Gallagher dominated midfield and AnthonyThompson snuffed out a succession of Crossmaglen attacks.
Quinnipiac University and Marist College polls released in the last week have shown him polling behind four fellow Democrats: Public Advocate Bill de Blasio, City Council Speaker Christine Quinn, former Comptroller William Thompson and former Rep. Anthony Weiner.