There is some sag, but if you look closely you'll see that the joint on the end is cut at an angle. Old houses here where I live often have sloping porches. This allows rain water to run to the outside instead of back into the doorway and against the wall where it would stand and cause rot. I agree that they were probably cantilevered back into the building for several feet.

My grandparents' house had a back porch like that and my Papaw closed it in and made part of it a utility room and part a bathroom. That made it interesting when it came to leveling the washer and dryer and plumbing the toilet.

The "sag" seen on the balcony floor on the right is probably intentional to provide drainage.

It's commonplace to see about a 2-5 degree slope on such balconies on buildings of this period here in Key West.

My first trip down this street was in the mid 60's. I still find myself travelling this street at least once a year.

Looks like a cross between New Orleans and any small town in France or Spain. Pretty appropriate, I guess, given that both countries owned large parts of what are now the Gulf Coast states. Excellent photo.

Appears to have been a Texan mineral water patent medicine, good for malaria, inter alia.

what is holding up those covered balconies. In the trades, we call it "force of habit" ... Likewise, the doorway of the house left foreground (whose unsupported balcony has recently gone bye-bye).