At one time, I thought so. My mother has a Tigerlily piece I did for her, and my father has a big Marine Corps Emblem that hangs in his office. Unfortunately, the first piece I ever framed and gave to them suffered smoke damage, and I haven’t been able to get it completely clean yet. They haven’t expressed any interest in having it back, either. Mom stuck another piece I did and gave to her in a drawer, and forgot that I’d done it at all.
Some of the pieces I did for my first husband’s family, like a baby sampler and a nice serving tray, may get passed on. Maybe. They may have gotten rid of them because of the association with an ex-spouse. Who knows?