I admit, I really ship them. Although I think Greg is married. Not sure.

Yeah, though I heard there was some difficulty (in 'A Scandal in Belgravia', he says he and his wife are going to Dorset for Christmas because they're back together and it's all sorted. Sherlock then says 'no, she's sleeping with the PE teacher'.

I'm pretty sure Greg is divorced, or at least separated from his wife. Anyway, I'd prefer this pairing over Sherlock/Molly. Most unhealthy relationship I've ever seen, and yet a whole bunch of people ship it.