Yes: Prunus mume. Might be 'Peggy Clarke'. You can tell Japanese apricot right off by the buoyant carnation fragrance it produces.

Mahonia - though I don't know which one.

Thanks to you two for helping. At first I thought the Kerria might be it from the description, but when the picture loaded I saw it wasn't. I forgot to mention that it has yellow flowers. The leaves are like in threes. The bush actually reminds me of a Lady Banks rose. My neighbor was thrilled..she's like me, she likes to find things that not everybody else has. We won't know until spring if hers is the double or single flower, though. I sure hope my cuttings take...they should, because everywhere I read about it said that they will root on their own when they touch moist soil. Anyway, it is definitely the winter jamine (jasminum nudiflorum), but I still have not found a double flowering type on the internet. I'm still looking, though, and if anyone finds one, let me know!

Thank you! I apologize - I'm located in Ottawa ON, Canada. I was so overgrown that it's definitely possible that there's a second plant in there. I'll have to take another look.