There's a second book from 1930 entitled "Florida: Empire of the Sun" which contains another fairly comprehensive list of courses. Many of the same courses from the 1928 list posted above are noted with a few additions.
Between the two compilations, there are a number of courses that stand out as mysteries to me.
If anyone has any information on any of the following, please let me know:
Scenic Highlands GC (Avon Park) - 9 holes, 3,100 yards
Webber College (Babson Park)
Captiva Hotel GC (Captiva)
Chipley CC (Chipley) - 2,800 yards
Ponce de Leon Springs GC or Ponce Spring GC (De Leon Springs) - 9 holes, 3,050 yards
Enterprise Municpal GC (Enterprise) - 9 holes, 3,000 yards
Green Ball GC (Fernandina) - 9 holes
West Fort Myers Club (Fort Myers) - 9 holes
Fort Pierce Municipal GC (Fort Pierce) - 3,090 yards
Chain of Lakes GC (Howey) - 18 holes, 6,200 yards
Avalon CC (Howey) - 7,000 yards
Inverness CC (Inverness) - 9 holes, 3,215 yards
Cedar Hills CC (Jacksonville) - 6,401 yards
Ribault Club (Jacksonville/Fort George Island)
Jacksonville Beach CC (Jacksonville Beach) - 3,142 yards
Key West CC (Key West) - 9 holes, 3,500 yards
Palmetto GC (Kissimmee) - 3,020 yards
Colonial GC (Kissimmee) - 3,101 yards
Lakeview CC (Lake City) - 9 holes, 3,100 yards
Leesburg Municipal GC (Leesburg) - 9 holes, 3,300 yards
St. Andrews Bay GC (Lynnhaven/Panama City) - 18 holes, 6,710 yards
Golf Park CC (Miami) - 6,000 yards
Olympia GC (Olympia) - 18 holes, 6,340 yards
Putnam County G&CC (Palatka) - 9 holes, 2,500 yards
Belvedere CC (Palm Beach) - 6,000 yards
Bunkers Cove CC (Panama City) - 3,803 yards
Osceola CC (Pensacola) - 18 holes, 6,001 yards
Plant City G&CC (Plant City) - 9 holes, 3,305 yards
Riviera CC (St. Petersburg) - 18 holes
Bright Water Club (St. Petersburg) - 9 holes, 3,050 yards
Siesta Key GC (Sarasota) - 9 holes, 3,100 yards
Lake Sebring G&CC (Sebring) - 9 holes, 3,500 yards
Airport GC (Tampa) - 3,105 yards
Indian River GC (Titusville) - 9 holes, 3,500 yards
Lake Avalon CC (Winter Garden) - 6,558 yards