One of the biggest things about pumping is that it is so different from baby that your body has to learn how to respond. I had to pump for 12 weeks following the birth of my preemie. Things that helped me were a good double electric pump, quiet space, comfy chair and visualization. Silly as it sounds I would sit, relax and actually imagine my milk letting down, visualize tiny flood gates opening and milk flowing. It actually worked! It would help get a let down going.
You can also try pumping one breast while baby is nursing from the other.
If baby is sleeping thru the night, mom can pump later at night before going to bed. Or get up early before baby and pump since milk is usually most plentiful in the early am. You'd have to time it at least a couple of hours before baby would want to nurse.
I am a hard core breastfeeding mama but there is no shame in introducing a little bit of formula so mom can have a few sanity hours every once in a while. It's important to take care of mom too.