So going to the "Brute Force and Ignorance" stage, how about this? It can be argued that so far you haven't got much to lose.
lay the chuck on a hard surface, and then start tapping with a mallet as the chuck body is rotated.
(Presumably, towards the arbor end, since that is where most chucks have the thread that drives the jaws).
If after one session of tapping and rotation, the chuck is still stuck, repeat using a little more force.
This is not advocating a 2 lb hammer swung with maximum force!
The idea is to slightly distort the body temporarily, which may free it off (ie break any rust or other bond between the jaws and the adjusting thread. Lets hope that no one has lubricated with anything like Loctite).
Hopefully, this will free things off enough that it can be moved. Once moved it can be oiled and the oil worked in by opening and closing, to free it off properly.
Howard