Let me begin by saying this is a true story. It happened in Zurich about 3 years ago. My watch stem had jammed and I had just landed. I was stuck on eastern time and had several meetings for which I needed to be on time. I went to a local shop and found the watchmaker was ill and had left his twin daughters in charge.....oops, wrong forum, sorry.
Ding Ding Ding Ding... Fulltimer got the answer correct!
There is a timezone deviation for each lake site, but I don't have the forum calculating that yet. For lakes like Eufaula and West Point, it is not crystal clear which time zone to use (Eastern or Central)... :-)
West Point should be Eastern--the Alabama towns along the river mostly use Eastern time.
Don't know about Lake Eufaula--my guess is Central Time, because Eufaula is on Central Time and there are no real towns on the East side of Lake Eufaula.