John, timber frame internal wall sounds OK but the vapour barrier goes between the plasterboard and the studding. The vapour barrier is there to prevent warm moist air from inside the room condensing on the cold inner face of the outer wall not to prevent moisture from outside affecting the insulation.
The wall I would build is as follows;
line the inner face of wall with breathable membrane, (Ruberoid or Tyvek) pretty expensive at about £100 a roll!!
3x2 stud wall from tanalised timber
Use 70mm
Expamet(I meant Xtratherm
well it was early) or the like to insulate between the studs, you need to get a good a fit as you can then fill ALL the gaps with expanding foam.
Then lay a vapour barrier over the studding, before applying 2 layers of 12mm plaserboard, staggering the joints to aid sound-proofing.
The studding can be attached to the outer wall for strength or leave a gap for better sound insulation, but then it may need bracing on the long wall.
One simple job, so many ways of doing it
Keith