The 21-year-old Osburn's body was found shortly after 11 p.m. Thursday. Police say they think she was killed late Wednesday.
Osburn's family called police after she didn't show up for Thanksgiving dinner.
Police say domestic violence had marred Osburn and Reed's yearlong relationship. They say Reed has been charged with domestic violence before.
Reed was last seen driving a tan 2002 Pontiac Grand Am with Kansas ``XNU402'' license plates. Police say he might be armed with a rifle or shotgun.
(Copyright 2008 by The Associated Press. All Rights Reserved.)