John,
The current draw seems high to me and the discoloration indicates excessive heat in the coil. I suslpect if you attempt to unwind the coil, you will find shorted windings somewhere in the many turns. As to what caused it, there are lots of small things that set it up, crossed windings, a nick in the varnish insulation and lots more. I have seen many over the years. My last one was the solenoid on a transfer switch in the MH.