[old_coot88]

Well, first I would explore the possibility of looking at the 1st IF xfmr as the model. But to take the shield can off, grip the stud firmly with needlenose to prevent its turning, then carefully unscrew the nut, making sure the stud never turns.

But without the model to look at (somebody please double check me on this), i would say the upper coil is the primary, and the lower one's the secondary.

Polarity might (or might not) matter. If it's backwards, the IF stage might go into oscillation. If it does, just reverse one coil or the other to correct it.

A very useful tip for stripping hair-fine wire:
Get an aspirin tablet.
Lay the end of the wire on the tablet,
apply tip of soldering iron so the aspirin melts and boils, producing hot acid which strips the enamel off.
Wipe clean with a damp Q-tip or similar.

But use ventilation as the acetylsalicylic fumes are very nasty.