It is very likely your Kjoller family was originally from Bornholm, Denmark. Kjollers have beeen there since 1500. The line begins with Arend von Kjoller & his son Rasmus Kjoller b.1530. who came from Pommerania (a duchy of Germany. Rasmuss married Birgitte NNsdatter b.1540, a Danish girl.
Their son, Hans Rasmussen Kjoller (1560-1609) was the first male Kjoller born on Bornholm.
All true Kjollers on/from Bornholm are descended from these.
Go to
www.kofoed.org