If you're ready to do it, go for it. You should be prepared that she may not want to meet you, but from what you said, sounds like your birth mother loved you and wanted more for you than she felt could give at the time. She may have regretted her choice.
If your mom who raised you wanted you to meet your birth mother, you may be able to honor her memory by sharing with your birth mom what a wonderful woman she was. It might also mean a lot to your birth mom since she wanted a real family for you.
You may also find out whose smile you have and things like that. You also may have siblings.
Whatever you do, all the best to you.
I'm prepared for that, if that's the case. I don't really remember a time in life where I didn't know I was adopted, so this afforded me a great amount of time to consider the situation from as many angles as I could think of. For example, I have to consider the possibility that she's too is no longer living.