+1 on the smell. I find that gear oil smells "skunky."
Also, if you gear oil was colored, you could use that to help identify the source. I've had some gear oils that were greenish in color. I think they were semi-synthetic though. You might also be able to get a rough feel for viscosity.
Synthetic oils find their way past seals more easily than conventionals. If you or the PO put in synthetic, you might find that switching back solves your problem.
And for more than you asked for... since the bike is new to you, it would probably be worth it to change the transmission fluid if you haven't yet. The speedo cable boot has a habit of leaking water into the tranny, and if you have any water in your transmission it will kill the bearings in there. Usually comes out of the transmission looking like coffee with cream.