Amanda gives birth in the back of Jesse's car in this one. Incredibly, in the last show of the season ("Left-Handed Murder"), she would suddenly be pregnant again.
No you were correct the first time. Amanda was in the back seat when they are driving. When Jesse phones Mark you hear Amanda say to Jesse "will you get back here" and you also see Jesse put the front seat down so he has access to the back seat area.
Correction: Amanda gave birth in the front seat of Jesse's VW Beetle. They were both sitting in the front when he pulled over.
This episode was broadcast early 2000s on the Swiss channel RTS 1 (TSR 1 at the time) in french. The series was briefly shown Mondays through Fridays around 2.50 p.m. between 2000 and 2001.