Under the dash, left side of the steering column, a small clip holding the flasher (not relay) to the fuse box.
The convenience center to the right side of the steering column holds the hazard flasher but since you said that your hazards work, I wouldn't touch that.
Do your back-up lights work? If not, you could have a blown TURN-B/U fuse.
If yes, the problem is further downstream (flasher, wiring or switch).
I'd check both sides of the flasher with a test light. With the key on, both sides should light up your test light.
Since you already have the dash access panels off, you can put a test light on the purple wire on the big flat connector for the multifunction switch (picture here:
http://www.austinthirdgen.org/mkport...-connector.jpg ). This purple wire should have 12V on it with the key on. If it doesn't, the problem is a broken wire between the flasher and the switch.
Hope this helps.
Lou