Thought it was Popcorn, then Sweet Fairy but now I'm pretty sure it's neither. It's almost pure white although some buds have slight hints of pink. Fragrant for a teeny mini in my opinion. Bright then dark green leaves. The flowers are quite small. May be a micro-mini if that really is a category!

Thanks!

Might be one of these:

http://www.greenheartfarms.com...
http://www.stargazerperennials...

The only micro-mini it resembles (in my experience) is Si, but you already have that rose. Is it possible that you have two of them?

Rose (Rosa 'Si')

Debra: I checked out both of those & they're beauties! I looked for an Innocence & couldn't find one!

Zuzu: it's similar but the Si is overall much smaller & the flowers are really tiny.

Check out the perfect little bud: