I don't know the name of my roses either. They are a miniature variety I received for Valentines Day. I almost lost them because I had hurt my back and my Valentine wasn't looking after them for me. I set them outside and when I repotted, I discovered there were actually six plants in the one container. Two have perished, but the remaining four are thriving.
All I do is water them, give them coffee grinds occasionally, or watered down coffee, and spray them with the same banana peel spray I use on my other flowering plants. I also spray them with aspirin water, and I think I may have sprinkled the soil at least once with epsom salts.