I have updated with some pictures that have been sitting on my phone for a long time, showing the flower and the fruit. There's a somewhat neglected and overgrown quince at my workplace which still manages to put out a few fruit. Taking cuttings is permissible (and the thing really needs some help, pruning-wise.) If I want to root cuttings from it (or otherwise propagate it) what is the best timing for taking them and method from that point forward?
Hmmm. I guess it's probably a "flowering quince" chaneomeles; though that's somewhat unclear. Definitely fits the "only conceivably useful for jam" but I don't have a fruit handy to examine - it didn't make many and the ones it did were removed by someone or something else. Smells good, tastes horribly astringent, but that seems to fit most of the "quinces." I had hopes to trying a small batch of jam from it, but I'm now leaning to trying a new bush in my own spot for that.
Fruit is definitely apple sized - looks somewhat like a granny smith with a bit of red blush (but more texture/less gloss to skin) most of the time it's on there, though in some years it has actually started to yellow at the end of the season