I was born prematurely, could my baby as well?

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I have just read that mothers who were born prematurely have a 60% chance of delivery there first born prematurely as well...is there any mommmas out there where this has happened?

My mom said I was born at 7 months pregnant. Im half way through 6. The only reason I even googled it was because im having cramps/braxton hicks contractions which i know are normal. But now im alittle worried. I need this baby to cook at least through march. She isnt due till May 25th.