The Tarpon House Inn in 1910; photo from Digital FGCU.
One of the last photos of the Tarpon House Inn in 1913; from Florida State Archives.
More interesting info on Old Punta Rassa , this time from a 2016 News-Press article about “Pioneering Tourists” by Cynthia Williams :
On a blustery day in March of 1881, illustrator Walt McDougall was fishing with friends in the Gulf when the wind picked up. They tied up at the nearest wharf and lumbered through sweeping rain into the barracks of old Fort Dulany at Punta Rassa, now a relay station for the International Ocean Cable Company. The cable station manager was a stout, genial guy by the name of George Shultz, from Newark, New Jersey.
When the McDougall party came loping down the dock, laughing and shouting in a cold, driving rain, Shultz and his wife welcomed them in. McDougall so enjoyed the food and peculiar accommodations at Punta Rassa that he told all his friends up north about it. Curiously, other sports fishermen cabled Shultz for reservations. The word spread and soon wealthy businessmen from up north were roughing it in Shultz’s old barracks with bare floors and tin washbasins. Besides their rustic accommodations, these gentlemanly sportsmen enjoyed the convenience of keeping up with the stock market and cabling in to their offices via the IOCC telegraph. The Shultzes quickly named their barracks home the Shultz Hotel, and when his guests inquired as to other local places of interest, Shultz invariably pointed them upriver to the up-and-coming little town of Fort Myers. The destiny of a fledgling town can pivot upon something as simple as the flick of a mullet’s tail. 
