We have extensive research on the Hays line. To the beast of my knowledge, none of my identified Hays relatives migrated north to Pennsylvania. However, my Hays relatives mostly immigrated from the area of Cheshire and Yorkshire in England to Virginia and North Carolina and went west and south from there. Our research shows that many of the Hays family that settled in Pennsylvania and other northeast states migrated from Ireland and Scotland. I suggest you look among Irish sources. Good luck.