No. I don't own a volt meter.
Three wires. Black, white and bare copper. A previous bathroom fixture was attached there. There is one wall-mounted light switch that operates the fixture. No dimming capability -- just a standard light switch. That switch is in a box with another switch that operates a different light in another part of the bathroom. That has been operating just fine, without blowing any fuse. There is also a GFCI outlet in the bathroom that seems to be operating normally. Has not tripped.
I connected black to black, white to white, and I connected both the bare ground wire from the in-the-wall wire and the bare ground wire from the light fixture housing to a green ground screw on the light fixture base plate. So, the only difference over what you described is that I didn't connect the ground wires to each other -- I connected both of them to the ground screw on the light fixture's base. Should I connect the ground wires directly and avoid attaching anything to the green ground screw?
This is a 4-light fixture. So, each of the four light bulb receptacles (not sure what else to call them) is wired in series. The black wire comes out of the receptacle on one end of the fixture, goes to the next one, and then the next one, and then the final one. Another black wire then comes out of the final one, to be connected to the in-the-wall wire.
I don't see any stripped wire between the receptacles, though I suppose there could be a short somehow in one of the receptacles.
So you think it is a problem light fixture?