To be fair, the Guiness Book of World Records lists the Roe River as the shortest, though both have been measured at varying lengths at different times...
You can find the Roe River in Giant Springs State Park in Montana, as submitted by mrjonmeyers here:
Rivers 
You can find the Roe River in Giant Springs State Park in Montana, as submitted by mrjonmeyers here:
http://virtualglobetrotting.com/map/11889/