This reminds me, do some airlines run ‘fear of flying’ courses? I remember hearing somewhere that some airlines did so?

Yes, Virgin does, as has been said. I think there are others, too.
A colleague who is terrified of flying was going on a round-the-world honeymoon last summer, so I recommended Virgin’s course. She baulked at the price, so I could only conclude that she wasn’t as frightened of flying as she said.