Jodi: As far as I can tell, there were three branches of the Adrian family who moved to Ohio around 1825, all descended from Jacob Adrian (1764-1857) and Keturah Cole (1763-1857) of Baltimore, MD. Jacob and Keturah and some of their eight children moved to Jefferson County, Ohio, while John (another son) and his wife Sarah moved their family to Crawford County. Other siblings moved to Morgan County. I've got a little bit on them on my web site at http://www.zipcon.net/~johno/trees/osbtree1.htmhttp://www.zipcon.net/~johno/trees/osbtree1.htm
I've also got images of land records that show a connection between the Adrians of Crawford County (my ancestors) and Jefferson County: http://www.zipcon.net/~johno/gendocs_osbhaz.htmhttp://www.zipcon.net/~johno/gendocs_osbhaz.htm (bottom row, center).
Here's a complete list of Jacob and Keturah's children: Jacob Adrian, Jr. Joseph Lemmon Adrian Honour Adrian Sarah Adrian Mordecai Adrian Phebe Adrian Mary Ann Adrian John Adrian