Most Helpful Girl
It IS still early in your Date Mate stage of things, @Braveheart4321, and she may not be this Ready Eddy who is Prepared To... Meet the parents.
Give her some space, cut her some slack and with time, patience on your part, and the nursing and nurturing of your Newbie Relationship, I think she may come along and Hopefully... Around.
Right now, I see the writing on the wall and all that she is this Nervous Nellie and is Not Gun Ho to Go and 'Meet my family. Just go slow with the flow for now and Ease into it, and perhaps, instead of Mom's for dinner, everyone could meet up in a casual restaurant where you could Casually Chat and chew.
However, to be fair, if you find along the love line, that she is crossing a fine Line of just 'Freaking out' because she is this Plain Jane who down Right refuses to Meet mom and dad, then sadly you Do have a problem on your hands and it Is... Blood Relatives whom you love and want your soul mate to as well because I would have to Agree... Family is everything.
You may find as time goes on that If going around the Mulberry bush is something that becomes a Full Circle Problem Pattern that you will know whether or not she is meant for you.
Good luck. xx