Tell your parents that you have a friend you would like to
introduce to them.
Then your mom will be happy, cook lunch/dinner then tell you
when you can bring her home and have a meal together.
Tell the girl that your parents would like to meet her and have
prepared a meal for her and that you would like to introduce her to
your parents.
Bring her home.
mom like her is ok, if Dad also like her, then there maybe some
problem...kind of like father, like son