I read with interest your post. The American Hotel (and Bar) located in Ladysmith and still located there was sold to my great grandfather David Sanderson by a "Nate" Hand in 1903. There was an article in the Ladysmith News regarding the American Hotel recently (within the last 6 to 8 months). If I recall, there was also a Hand Implement Company near the same property as the American Hotel.
Not knowing where you are located or whether you ever get to Ladysmith, have you checked with the Register of Deeds for Rusk County for a Nathan Hand obituary?
Wishing you luck in your search.