WASHINGTON (MCT) — Second Amendment rights to carry firearms are cherished by most gun owners, a new poll finds — no surprise there. But the same poll says a sizable majority of those same gun owners, even members of the National Rifle Association, also strongly support some gun-control measures.

The poll, done for Mayors Against Illegal Guns, found that 76 percent of gun owners think people on the terrorist watch list should be barred from buying guns, and 68 percent were in favor of measures requiring gun owners to tell police if their guns are lost or stolen. The NRA has opposed such measures.