It's great that your daughter wants to learn to sew! You didn't mention if you sew or what you were willing to spend, so I'm not sure if this would be helpful- you should see if there are any sewing machine stores around you. Not only can they help you find a good beginner machine but the ones I've dealt with offered free or very inexpensive classes on using the machine. I've had so many people tell me that they own machines they have no idea how to use or have never taken out of the box. The best price in the world doesn't matter if it doesn't get used.
Joann's Fabric carries machines, they have several on sale but they were all Singers. I learned to sew on a Singer but they are not as good as they used to be. When I was researching sewing machines two years ago, the reviews on the Singers were not great. (I bought a Janome).
If your daughter is really interested in sewing, it would be a shame for her to get turned off it because she found the machine difficult to use. The biggest problem tends to be in with the tension. I took a quilting class recently and one of the women almost quit the class because she was so frustrated by her machine. Fortunately, the teacher was able to help her.
This might be more complicated than what you're looking for, but I get really excited when kids want to learn to sew. I've been offering to teach my kids for years. It's a fun hobby that can become a money maker. In college, I used to make some money doing things like mending and hems.
