Comets are mostly icy but they should have some rocky components too, right? I wonder if there's any rocky piece of a former comet among collected meteorites. Is it possible today to identify a meteorite as having cometary origin? Or has surviving pieces from comet impacts been too rare (or violent vapourizing) events?
This page -- http://www.amsmeteors.org/fireballs/faqf/ -- suggests that it's very unlikely to find cometary-origin meteorites, even though the majority of observed meteors are cometary in origin, because the latter are too fragile to survive all the way to the ground:
Based upon photographic fireball studies, cometary meteoroids have extremely low densities, about 0.8 grams/cc for class IIIA fireballs, and 0.3 grams/cc for class IIIB fireballs. This composition is very fragile and vaporizes so readily when entering the atmosphere, that it is called “friable” material. These meteoroids have virtually no chance of making it to the ground unless an extremely large piece of the comet enters the atmosphere, in which case it would very likely explode at some point in its flight, due to mechanical and thermal stresses.
It goes on to claim that cometary meteoroids make up about 95% of observed meteors, 38% of observed fireballs, and 0% of fresh meteorites. (Since a hypothetical cometary-origin meteorite would weather faster than meteorites of asteroidal origin, they would be even less likely to be found later, and so it's not surprising that the page says 0% of all known meteorites are of cometary origin.)
Well to quote the wikipedia page on the Leonids: "The Leonids are a prolific meteor shower associated with the comet Tempel-Tuttle."
So if a meteorite falls to Earth during the Leonids, it may have originated in Comet Tempel-Tuttle.
Unfortunately, there appears to be no conclusive evidence that any particular meteorite came from any particular Comet. The problem is that we do not have direct samples of cometary material to compare against. See for example Swindles & Campin 2004, though somebody may know of something more recent?