Thanks plantladylin for your reply.
I had not seen the Florida Plant Atlas site, but had seen the Wikipedia listing. The flower spike on Wikipedia is tall and narrow, not what I have seen, and the flower photos on the Florida Plant Atlas show much wider petals than on mine. Other pics of Talinum fruticosum I have just seen look like mine, with flowers in more confined clusters and more star-shaped than disk-shaped. So the other aspects may just be variation within the species.
That the plant has occasional populations around Florida gives the possibility that bird droppings brought the plant to this property.
Thanks again! So glad I posted on this site!