Well, maybe we'll get a TN Dungan descendant to add to our information at some point.
I was in Rutherford TN this last summer and purchased a genealogy book for the area around LaVergne. It does mention two Hamilton families in the area. Regarding their Hance Hamilton family--"Hance Hamilton...name appears in Court House at Raleigh, NC many times on various documents...private in NC Continental lines, entering 1 May 1777. High Sheriff of Guilford Co NC in 1789. Was in the General Assembly 1789; House of Commons 1790, 1795-97; in Senate Guilford Co NC 1799-1800. 1800 - first record of him in TN, although he owned property in Davidson Co before then as he appointed Andrew Mcnairy as his attorney in fact to transact any business....purchased from Thomas Hamilton, Sr., heir of Dr. Hanse Hamilton, the military grant of land of 4000 A given to Dr. Hance Hamilton for Rev. War services, located on both sides of E. Fork of Stones River...evidently was a brother of Thomas Hamilton, Sr., and a nephew of Dr. Hance Hamilton, Rev. War surgeon...1813 Justice of Peace, Rutherford Co...Mary McNairy b 15 January 1764 m Hance hamilton who ws born 31 July 1759 and they had seven children...both said to be buried McNairy Vault at Nashville"
That's just their record, for what it's worth. Other Hamiltons mentioned are in deeds - Mary and Thomas Hamilton 3000 A granted 1793; Hance Hamilton to James and Thomas Bell October 3, 1805 300 A Rutherford County - one border was the NW corner of Thomas Hamilton.