Unfortunately I don't have a photo of it, but a couple other people are
asking on the web about what rose it could have been, too. Maybe it was
grown well before WWII; I don't know and don't remember anybody else
having one other than people now talkign about it trying to identify it.

Ours was a rental house and it had been there since at least before
1943, very mature, was huge, on a large trellis, very tall and very
wide. I don't know a multiflora from a grandiflora, but it had clusters
of small (maybe 1-inch?), double, medium pink to rose colored blooms,
for a long period during the summer. Don't remember a particular
fragrance and it wasn't much for cutting, but sure looked beautiful when
it bloomed. It required no care that I remember.

I remember my mother talking about a Pinnochio rose, but I think that
was a shrub rose, and the only other named rose we had was a Peace rose
when they became all the rage and some miniature ones.