Sue, unfortunately, I am unable to help you with regard to the Hollingsworth and Conaway families but,it appears that many Quakers in the north of Ireland were originally religious refugees from England, Scotland or France. As Quakers they did maintain records and exchanged many yet unfound letters. Generally it seems that certain families stayed in the same locale in Ireland for a few generations as I have seen the same names mentioned in the same places over and over again. By chance I came upon a Irish Quaker whose name was William Whiteside and I traced many a Quaker record dealing with him starting in New Castle, De. I have absolutely NO clue as to if I am linked to him but, thru the early Quaker records I do see clues to who he was linked to in Ireland. One record mentions his being admonished for bringing an indentured servent named Regan from Ireland. I found the archives at Swarthmore to be a raw source of largely untouched data along with misc. records stored with the DE. Historical Society. I have also visited the archives at Dover, DE. I am certain that you may have also tried these sources but, if you haven't I would encourage you to visit them.I usually can recall names that I have scanned with various records and know that Swarthmore had many that bore the names of the Hollingsworth family. They were very prominent Quakers. If I see any records that deal with an early Hollingsworth-Conaway link I will foward it to you. I live just outside Odessa, DE.