Below is an excerpt from the Wikipedia Deliverance Article:
https://en.wikipedia.org/wiki/Deliverance#Production
Deliverance was shot primarily in Rabun County in northeastern Georgia. The canoe scenes were filmed in the Tallulah Gorge southeast of Clayton and on the Chattooga River. This river divides the northeastern corner of Georgia from the northwestern corner of South Carolina. Additional scenes were shot in Salem, South Carolina.
A scene was also shot at the Mount Carmel Baptist Church cemetery. This site has since been flooded and lies 130 feet under the surface of Lake Jocassee, on the border between Oconee and Pickens counties in South Carolina.[2][3] The dam shown under construction is Jocassee Dam.
During the filming of the canoe scene, author James Dickey showed up inebriated and entered into a bitter argument with producer-director John Boorman, who had rewritten Dickey's script. They allegedly had a brief fistfight in which Boorman, a much smaller man than Dickey, suffered a broken nose and four shattered teeth.[4] Dickey was thrown off the set, but no charges were filed against him. The two reconciled and became good friends, and Boorman gave Dickey a cameo role as the sheriff at the end of the film.
The inspiration for the Cahulawassee River was the Coosawattee River, which was dammed in the 1970s and contained several dangerous whitewater rapids before being flooded by Carters Lake.[5]