Eatonton Eatonton's 1884 Central of Georgia Railway depot burned in August 1983, just under a century after its construction.  A city of 6,910 people, Eatonton is the county seat of Putnam County in middle Georgia.   Georgia's Railroad History & Heritage. Copyright, Steve Storey. Railroad History | The Depot List | Locomotives On Display | Odds & Ends | Sources & References | Home