Any gun you inherit from a parent after their death is a treasured piece in my opinion. Case in point, I have a really old Stevens single shot .410 that is held together with 60 year old tape and luck. When my father, who was one of 12 kids iirc, was a child they lived in rural Oklahoma on a farm. One of these situations where when he said they had to take turns on who got to ride the mule several miles to school while the others walked, it wasn't an exaggeration.
One day he saw a used .410 shotgun in the window of the town hardware store but, obviously, had no money. One of the guns owned by his father was an old .22lr single shot rifle. My dad would get up extra early every morning, before school and chores, ride the mule out to the fields and hunt coyote for the bounty. After I have no idea how long, he saved enough to buy the used shotgun.
My father joined the Air Force as soon as he was old enough and made it his career. When he married my mom they were two young people living on the salary of young enlisted man which isn't much. That same .410 shotgun was my mom's home defense gun those many years starting out and raising a growing family.
Eventually my dad bought other guns more suitable for home defense but my mom was always more comfortable with the small scattergun so it remained under their bed throughout my childhood (unloaded for safety among several kids).
My father died just a few years after retiring from the Air Force still a relatively young man. As the resident gun enthusiast I inherited all his guns (once I was old enough) minus one which was stolen the day of his funeral.
I still have them and that old Stevens single shot .410 is still held together with yellowed fragile tape and a roofing nail to stop the long broken opening lever from going too far. I've never fired it nor would I in its current condition. Many times I've considered having it repaired and made usable but every time I see that old yellow tape and the roofing tack hammered into the stock it brings the story back and that's what's important. I'll keep it as is. Monetarily it's not worth $10 but sentimentally it's priceless to me.
Your inherited guns don't have to have a good story to them though to be valuable. They are, by nature of being inherited, valuable.