Simon Cowell's Baby Mama -- We'll Get Married ... If Simon Wants to

Two interesting things about this video with Simon Cowell and the woman carrying his fetus, Lauren Silverman. And it's all about who is responsible for what in their relationship.

Lauren's responsibilities -- according to the couple, Lauren is tasked with making the decision about filming the birth of their child.

*Note -- Our camera guy has volunteered for the job ... and Lauren didn't exactly turn him down.

Simon's responsibilities -- Lauren says the decision to get married is entirely up to him.

Duh.