Hi David. My book would only provide a small bit of what you're looking for. The problem is that, in Ireland, there survives so little (relatively speaking) of records prior to about 1840. This is especially true I think of Ulster Scots. That being said, I am very confident the book represents by far the most comprehensive collection of Scottish and Ulster Lynn data available anywhere. I am in the process of putting chapters of the book on CD, which of course would be more affordable, but I can write you directly about that if you're interested.
I can tell you a few things here:
1. The record shows that the first Scottish Lynn in Ulster, William Lynne, arrived about 1606 and acquired several properties lying in a more or less straight line through the neighboring counties of Londonderry, Donegal, and Tyrone. In Tyrone, he also was agent for the Earl of Abercorn's estate of Dunnalong and submitted a certificate as to the status of its development in 1622.
2. The record also points to a strong likelihood that William, and probably two contemporary Lynns who lived on the Dunnalong estate, were cadets of the Ayrshire Lynns of that Ilk. The contemporaries were named John and David, and they are found in Dunnalong in 1617. John Lynne was also specifically named on the 1622 certificate and was listed as a freeholder, while David was not named at all in 1622, which may mean one of three things: (1) David had died; (2) he had moved away; or (3) he was a mere undertenant or cottager in Dunnalong, men in those two groups not being specifically named nor even counted but only estimated at "a greate number".
3. I believe, though the evidence is far from conclusive, that direct descendants of one or another of these three Lynns included Dr. William Lynn who was born about 1700 (or perhaps a bit earlier) and emigrated to Fredericksburg, Virginia. Dr. Lynn wrote a will in 1757 in which he named certain family members still living in the very counties mentioned above - Londonderry, Donegal, and Tyrone. Furthermore, becoming a doctor means he likely would have been from a family relatively well off.
Here are URLs for a couple of pages at my website which you may find helpful or at least interesting ...