Ha ha ha, thanks mate, i'll keep that in mind as a last resort .Take blurry pictures and put it on eBay for $50, saying it belonged to Prince Metternich. Problem solved.
I have no insight to your actual problem. These linings are usually pressed meerschaum, which I’m told is pretty fragile, so pushing it in is risky.
Yeah, think of it like pushing in a very delicate caliper piston, or a bearing race. Getting it warm is probably a good idea too. I would imagine the lining was originally held in place with some kind of adhesive.I'd put it in a vise with wooden sides and goooo slooooow.