a gifted heir
I really thought that in the third season Sam would announce something equivalent to a pregnancy and since then I've been thinking: what if Sam got pregnant and the baby was somehow born with the ability to see and hear the ghosts?
I mean, we all know that she got this ability by falling down the stairs and being officially declared dead for 3 minutes but it would be cool if somehow a future child "inherited" this power and could communicate with ghosts too, not to mention the joy that Hetty and Alberta would feel at having respectively an heir and a child in the house.
I know it sounds crazy and even something difficult to have in the series because it would take time and patience to develop all of this, but it's a theory that I like to think about.
EDIT: many of you are talking about BBC Ghosts and how adding a baby to the plot pretty much killed the show. I actually didn't know that information. I'm Brazilian and I started watching the show just two weeks ago, so I apologize if I was clueless. Sorry, guys.