The Gaddy's and the Wilson's are connected. My Mother's Mother was an Ivy who married a Wilson. The Wilson clan in Scotland is a very large and respected clan to this day.
At one point some of the Wilson's were sent, by the British government, to live in Ireland. I am not clear on the reasons why or how they were chosen. My personal thoughts are that they were less than what the English could accept. Rabble rousers, anti-England or just out-and-out thieves.
Do you have any info regarding a Sarah Adaline Lee? She married Francis Marion Gaddy. Supposedly, she was a cousin to General Robt E. Lee.