There are two Noah FLuharty's. The one that you need is the son of William Fluharty and Mary Snodgrass. They married in 1810. Noah's grandfather was Noah also. He was married to Nancy Reeves. His greatgrandfather was John Fluharty and he was married to Hannah Pennick 9married in 1735).
My grandmother was Fluharty too. My line is from your Noah's brother, John M. Fluharty.