The only Finn entry in the 1790 within reasonable distance of Person County NC was Daniel Finn in Surry County, about 100 miles to the west. There were no Finn families in Virginia. However:
(from Ancestry.com: Enumerators were only required to make one copy of the census schedules to be held by the clerk of the district court in their respective area. In 1830, Congress passed a law requiring the return of all decennial censuses from 1790-1830. At this point it was discovered that many of the 1790 schedules had been lost or destroyed. Thus, we have about two-thirds of the original census from the time period. The 1790 census suffered district losses of Delaware, Georgia, Kentucky, New Jersey, North Carolina, and Virginia. However, some of the schedules for these states have been re-created using tax lists and other records. Virginia was eventually reconstructed from tax lists as well as some counties from North Carolina and Maryland.)
So there may well have been more Finns than were counted. Of those present in the 1790 census, 13 were in CT; 3 in NY, 3 in PA and 1 in NC.
Daniel’s entry shows 4 boys younger than 16; 2 males 16 or older and 5 females. Thus Daniel could have been Unknown Father Finn.