Sheila, I think it will. In fact, it can become quite large, if you let it. Ours is over 5-ft., and round. But we almost lost it to gophers twice -- which set it back some. But I have seen a very old plant reach up to the level of 2 stories.

Lisa is correct that it doesn't look much like a Polyantha. It's one of those roses Vintage called "Poly-Teas" and is quite Tea-like, in both bloom size and habit. It's bred from 'Mlle. Cecile Brunner' and some Tea Rose, and I suspect they called it a Polyantha because in its time, who would buy a Tea Rose?

I don't know how it would do elsewhere, but in SoCal, it's peerless ... and I've found it in 1-2 old cemeteries, so we know it's tough.