I believe I have found a fourth cousin in Sweden on Ancestry.com!!! She signed up for Ancestry this past August. Working my way forward from siblings of direct ancestors this evening led me to a connection in her online tree.
Our shared 3rd great grandparents are Adolph Fredric Boquist and Brita Stina Andersdotter who lived in Gällaryd, Jönköping, Sweden.
Update 11/18/2012: She wrote back!! Woo-hoo, cousin connection!!!