Have you tried big Y testing on FTDNA to help. I too am trying to find the origin of my name and through searching my distant BigY match to a Galyean I found this thread.
My GG grandfather was born in Randallstown Northern Ireland in County Antrim between 1865 and 1873 depending on which records I am to believe. His name was Alexander Gillen. Which is still the family surname but Gillan was also used by his father Alexander born 1847 as were the names Gillion and Gillian on most of the Catholic baptisms of my GG grandfathers siblings. Those are the oldest records I have because of the name change and I mostly searched Gillen. I suspect that their ancestors came from Scotland at some point possibly the plantation or as MacDonnell gallowglass. In a post of yours you said some of your family went to Ireland during the plantation and settled in Dungannon. Interestingly that is near Ballygillen, maybe coincidence. The names Gillian and MacLean are related patronymic and Galyean seems like it could be an earlier version of Gillian. Iirc he and I match at SNP FGC4077. My terminal haplogroup is downstream of that and is called A725. I match a MacLean at that level. Would that be you?
Most of my matches at level A725 are in the areas of Dal Riata and Galloway. I match in that haplogroup the names Kennedy, Kelly, MacMillan, Mullen, MacLellan, Ryan, Gartland, Galloway, Hoy, Cannon, McCann, Coyne, Quinn, MacLean, Murray, Morris, Morrison, Byrnes, Ross, and Taggart among others.
Perhaps this information will be helpful.