family history of preterm labor

Kelsey
Hi all I'm currently 35 weeks with my first. 
I was wondering if there is a family history of preterm labor does that mean I'm likely to have a preterm labor too? 
I was 2 months early at 4lb 2 oz
My Aunty had my cousin 9 weeks early at 2lb 4oz
And my brother was 4 weeks early at 4lb 14oz I believe. 
Starting to feel anxious as I feel my time is near. I would like to know if any of you have a family history of preterm labor. I'd be great ful of any comments:)