Has there been any DNA work done on this Garrison line?

I found a David Garrison (1870 census) living in Cave Spring, Georgia. One of his sons was named Jasper Garrison on the 1850 census.

He had another son named James.

My great-grandfather was James Madison Garrison who was a sawmill operator.

On the 1870 census, I noticed that David Garrison also operated a saw mill.

Curious if there is a connection. Any thoughts and or opinions would be welcomed.

TIA