There's four guns that floated around in my family. I don't really have any particular interest in any of them for various reasons.
The first was a nickel Iver Johnson top break that my great grandmother bought in ye olden days when she lived in Detroit. It passed from person to person in the family, still in the original box. My grandfather had it for a long time. But it wasn't a very good gun honestly. The trigger pull was terrible, it was inaccurate, and the casings swelled up when using current production ammo - not a good thing. Yeah, it's been around, but was is it a reminder of? That my ancestors didn't know much about guns and bought a not so good one?
Similar story with the 16 gauge break top that bounced around. My grandfather had it for years in the attic, and great uncle Nicky had it on his bus during the Detroit riots. But it had a cheap plastic like stock that something had spilled on and started to warp it. It also kicked far too much when I was 12 to have enjoyed it at all. It sits in my mother's closet. Eh. It was purchased long ago as an inexpensive tool, used for that for years, and was never really all that great. I suppose it would make a nice lamp.
The third gun that would in theory be an heirloom would be the Remington bolt action .22 my Dad gave me when I was 12. The only gun that he ever gave me. I hated that thing. The bolt was hard to work, the scope fitted on it didn't have the right eye relief, it was too heavy, and the stock was too long. Then it rusted owing to poor storage in my mother's closet when I was young. Eh. I haven't shot it since I was a kid, have no pleasant memories of it and couldn't care less about it.
The fourth gun would be a circa 1986 Model 67 that my mother purchased as a utility gun. Well made, but nothing special. She still has it. I have no particular interest in it. It worked for her, and was/is a useful tool, but nothing that I became attached to.