My OB prescribed me Fioricet on Friday to help. a bit, but webmd also recommends only taking in pregnancy when absolutely necessary. during your 2nd tri is not going to cause you to have a barbituate- addicted baby. I have a history of terrible migraines and I was prescribed Fioricet with my 3rd My baby was non addicted, excellent birth, easy going medicxxx.uset. Mar 19, - I have been on fioricet almost my entire pregnancy for migraines. about if my baby can become addicted, she said if i take it more than once a.