If your surname is spelled Alsept, then yes you are related. This spelling only goes back to the 1800's, the original spelling seems to be Alsop. Since your grandfather was from Kentucky that will probably mean you are more closely related. My own is as follows;
Zelda Alsept - my mother
Kash Alsept - my grandfather
Henry C. Alsept - Great grandfather
Robert Alsept/Alsop - GG grandfather
Elizabeth Alsept/Alsop - GGG grandmother
Daniel Alsop- GGGG grandfather
and so on. So hello cousin, if you would like to email me and trace your line please feel free. There are other "cousins" who track this board who may also be helpful.