The Ludovic Grant I mentioned was a Scotchman who went to live among the Cherokees about 1726. He married a full-blood Cherokee woman. His daughter married William Emory. Their daughter, Elizabeth Emory married Captain John Stuart. Their son, Bushyhead married Ghigoneli. Their daughter Catherine married John Gunter (1750-1835). Their son Edward or Edmond or Edwin Gunter married Elsie or Alice McCoy. Their daughter, Jane or Jennie Gunter married Leroy Keys. Their daughter, Letitia Victoria Keys (1843-1906) married Joseph Asbury Denbo (1844-1926). Their son, Robert Leroy Denbo (1880-1935) was my grandfather. He married Edith Madge Brown (1885-1933). Their daughter, Elouise C. Denbo (1910-1996) married John Bernard Fornasero (1904-1967). I, Barbara Joyce Fornasero (1930-) married Joseph Evans Grimes (1928-). So I do not know if there is any connection between Ludovic Grant (above) and Ulysses S. Grant.
The other Grant line in our family is the same as yours. Mariah Grant married Jacob N. Denbo. Their son was the Joseph Asbury Denbo mentioned above.