One of the modern groundcover types. Might be able to get a name at a garden center.

That's the original Flower Carpet rose, I think which is now known as Flower Carpet Pink.

THANK YOU!!! I think you nailed it :) I think it is Flower Carpet Scarlet!!!! Thanks again :) Christy

I'll look for it in the spring, I think it is not being sold at this time of the year.

I can't tell from your pictures, does it have a glossy leaf? I have Flower Carpet Pink and the leaves are evergreen (in zone 9b anyway) and they are very glossy.

I'm not sure!! I'll take a closer look next time I'm at her school :) I'm excited to find it this spring, so far no luck. Christy