Ok, I just went to JAXGIS and I picked two houses at random.134 W 65th, the plot is listed as North Shore, and 233 E 65th and the plot is listed at Panama Park...
After clicking around a bit more in JAX GIS, it looks like anything west of Rolliston St (the inlet North Shore Park sits on), and south of 63rd is North Shore, and thing north of 63rd on Laura St, and to the east of Main, is Panama park