Molly Sharman Crawford sometimes gets that sort of 'will I proliferate or not?' centre, although at another stage her blooms are classic hybrid tea form (high-centred spiral). White or cream, and almost thornless too. Not sure about anything else - perhaps if you or someone else has the Tea Rose book, they could check those leaves, and SEPALS as seen in pix 2 & 5. MSC could have rather stiffer canes than your rose, unless yours is soft/pliant because it's still quite young growth?

Having said all that, I'm now thinking the flowers are much too small to be Molly....

:¬P

Pompon Blanc Parfait except the flower might be too yellow/cream. Similar with its light green, matte foliage, nearly thornless, and LONG sepals, shorter petals in the center. Your flowers also seem similar in size. The only thing is that yours don't seem to have the pinkish blush.

Thanks bumblekim, that looks promising. I suppose I'll have to see if it is continual blooming since PBP is once blooming. That might rule it out or say give me a second look. Thanks for the suggestion.

BethC any updates on that rose?!