I do feel for you. What my DH and I do is the working person gets to sleep without interruption on the nights before they go to work. So Sun - Thursday nights, I get a full night's sleep. DH gets up to any wakenings and I get to be fresh for work. On the nights where I don't work the next day, I get up, so Friday / Saturday nights. When I was at home and DH worked, the same thing. It's the only thing that keeps us sane, and that helps us be better parents.

Can you do any sleep-overs anywhere? EG older nieces / nephews who'd "love" the "adventure" of looking after baby?