I do not have photo equipment at present to take a picture. The pot cores I have tried to open all seem to shatter, the glue is as strong or stronger than the ferrite.
The present one I would like to dismantle is out of a Kestral electric fencer and is used as a blocking oscillator with a germanium transistor. There is much corrosion the transistor has lost a leg and the coil is open circuit. I would like to rewind it with the same number of turns, thus I do not need to know the core's parameters. I do have an inductance meter if necessary.
I have not tried heating, that is perhaps the way to go, the bobbins seem to be plastic, perhaps nylon, and would not take kindly to be heated to more than 150 C.
Why do I have this obsession with mending old junk?