Does it really need to be isolated, that is, floating with respect to the +5V supply? Do they really not share a common ground?
Old thin net (10Base-2) ethernet cards often had an isolated 5 V to 9 V (or 12) converter. This converter powered the 10Base-2 Phy, which could not be ground referenced to the computer, otherwise there would be a huge ground loop created by the ethernet cable. With 10Base-T and other twisted pair ethernet, the isolation uses a transformer on the ethernet signal instead. If you can find one of these old ethenet cards, you could salvage the converter. You can of course buy these too.
After you have one 9 V supply, getting the other is easy. There are common small ICs to provide a negative rail from a positive one, like MAX1044, TC0144, LT1054, etc.
If you don't need an isolated supply, and if you can operate from +/-5V, then just use the converter IC above to create the -5 V rail. Using XR-2206? Try it this way.