There’s record of blue eyed Natives east of the Cherokee regions. The largest tribe in the Piedmont spoke Algonquin. There is some speculation that the failed colony at Roanoke Island provided a blue eyed gene.
No proof as of yet any American Indian in my family but my ancestors look like American Indian. All my granddads brothers and sisters had dark skin and dark eyes. My granddad has light skin and blue eyes. He had 12 brothers and sisters. So 1 in 13 ended up with blue eyes light skin in his family. Interesting.....
Eye color is pretty much controlled by SEVERAL GENES. http://www.thetech.org/genetics/ask.php?id=29 There are also some physical controls ~ like is the pigment in front of the lens, or behind the lens, and are there pigment deposits in/on/around the Iris for “yellow” when the main deposits elsewhere are “black”.