I think
@taiyuu_otoko gave you very good advice.
For now just be cool and allow the interaction to progress. You are dating and screening to see if she is cool and meets your criteria. A person will only seem perfect for a limited amount of time. People cannot be on the best behavior forever.
So you need to spend time with her and her family but also observe how she responds when she doesn't get her way, when you tell her no, when you spend time with your friends without her.
And you also must think about your life long term. She wants marriage & kids so you know where she stands on that. Is that something you also want eventually? If so then its a matter of evaluating whether or not you want marriage & kids WITH HER.
One good thing is she seems to come from a solid family and that is a really good thing and a big deal. Healthy family dynamics as part of her background will mean she has a healthy template to form her own family. It is also good that you like her parents, because as a relationship progresses the in-law relationships was help things or hurt things a great deal.
You marry not just the spouse, you marry the family. Remember that.
Now. If you cannot imagine yourself getting married and having children one day.....in time you will have to let her go. Its not really fair to string a girl along knowing you can never be what she wants.