How about calling this bloke?http://gme.jp/arch/images/angle.jpg
I think Angle Grinder Man specialises in wheel clamps not pointing!
Thanks for the responses.
I'm not so keen on using an angle grinder - not least because they
terrify me - but also because I'm planning to do a bit at a time.
The Screwfix plugging chisel is what I already have and it's too wide
(although Screwfix don't actually say how wide it is!)
The other Screwfix item looks interesting but I'd need an SDS drill.
I think I may end up grinding down the one I have