Fluther cat whisperers can you help me extinguish this behavior?

On Sunday we adopted a beautiful pure black cat from our local humane society. She was an owner surrender because apparently she tormented the family dog but so far she is a great cat. She is very social and loves the commotion of the house and playing with the boys, plus she got right on board with using the litter box every time. We are only have one problem. In the middle of the night she comes looking for us with those loud, I mean really loud meows. She moans for a couple of minutes until she makes her way to someone’s bed and plops down to sleep. The meowing doesn’t last long – just enough to wake us all up. I was thinking maybe she is bored but I really have no idea. Any ideas to help stop this behavior? I’m looking at you Milo.