Colin, the "LED Torch Circuit -A" is exactly the same as the schematic posted above except for the transformer winding, yours has a 1.5:1 ratio and his is 1:1. The 2nd circuit only ads a 10n cap. The 1:1 is easier to wind smaller and closer together especially on a toroidal core. I was intimidated having to wrap a toroid that small but it was very easy, I simply popped my 3X drug store reading glasses on which I use for small stuff and wound away, it's more like sewing than electronics though =)
All the other circuits on talking electronics required more transistors resistors and diodes to work, the one I made was specifically to be as small as possible, I just breadboarded it to make sure the coil worked. That charge pump IC your on your site is very nice, I wonder if there are any shops on the net that sell them one at at time.
As a side note, what's that 10n for colin, to change the frequency?