Will I deliver early if my family members did?

My great grandmother, grandmother, mom and aunt (all on my mom's side) all delivered their babies 3 weeks early. They each had two children and both were early. None of them had complications or anything that would indicate potential early delivery until they went into labor at 37 weeks. I think it may be because they are all petite with small frames. Does this increase the chance that I'll deliver before my due date as well? What is everyone's experience here?