I have just the rose for you, Lilylady!
Rambling Rose (Rosa 'Super Dorothy')
Your neighbor's rose is Dorothy Perkins, which does not rebloom and is highly susceptible to powdery mildew. I had several of them and I'm in the process of replacing them all with Super Dorothy, which does rebloom and doesn't succumb to mildew. It will "drape" beautifully.
It's available from a variety of sources, but Pickering is probably the best source. Pickering won't be taking orders again until September, but September isn't that far away.
http://www.pickeringnurseries....
