Thanks to all the commenters. I will try to summarise and answer what I can.
My answers to your questions
JohnF: Is the drill too large and un-sensitive – Yes Fobco Star 1/2″ chuck with a bit of a wobble to it.
Bazyle: The table is firm but the work was not clamped to it, although it was weighted down fairly well.
Quill extension was minimal, so no lateral movement.
No, I was not clearing the swarf every mm.
No, I was not using the highest speed on the drill (second highest)
I probably don’t need to drill all three together, although the job at hand is to drill, taper ream (1/16″) and pin the three plates together, so any tips here are appreciated.
I do need to apply pressure, since the return spring is fairly robust on the drill.
KWIL: No, I was not using sufficient lubricant (Trefulex)
Terryd: Peck drilling sounds sensible, I was probably being far too ham-fisted!
NJH: Aah, you spotted it! I am making a ‘trial’ clock in aluminium to make these types of mistakes, then a proper one from brass. This way I am scrapping chunks of aluminum and not being as unhappy with myself as I would be if I messed up with all the nice shiny brass. This way I get to practice the techniques and make the tooling/jigs I need before I get into the real thing.
Ian S C: Yes, I have thought about that. I do have a Dremel although I don’t have the stand for it. It may be simplest to source one of them.
My summary of the guidance so far:
Get a decent pin chuck
High speed on the drill
Peck drill into the work slowly, clearing the swarf frequently
Lots of lubricant – paraffin would be best
One plate at a time
Clamp the work to the drill table
Use a smaller, more sensitive drill for this sort of work (recommendations please)
Look at using Dremel mounted in vertical drilling stand as temporary solution
Phew, that’s a fair bit for a few hours of your time. Thanks guys
Rob