From the Taylor County Historical Society Facebook page:

On this day (April 21) in 1932, the Taylor County News reported that ferry service across the Steinhatchee River between Steinhatchee and Jena had been established. What we now call Steinhatchee was served by the Stephensville and Jena post offices in those days, although there was a Steinhatchee post office farther upriver in Lafayette County. When that post office closed in 1937, the name "Steinhatchee" was transferred to the office on the Taylor County side of the river closer to the coast, where it remains today.