Wow, thanks for all the replies guys!
In answer to some of the questions:
My blowtorch is a Taymar, with the detachable can of gas. Comes as a pack in diy stores.
I gave the pipe a GOOD smear of flux, and wiped away all traces of it once the elbow joint was in place (so none left outside the joint). Then applied the heat to the JOINT (not the pipes - being an elbow with 2 pipes into it, it was easier to heat the joint)
I must admit I certainly didn't turn the torch on full. I was a little timid I think. I think this may have been my problem.
As for the smoke - yes I believe it was smoke, not steam. One of the pipes which came out of the joint was about 18 inches long. By the time I saw the solder ring that pipe was REALLY HOT !
I stopped applying the heat the second I saw something silver appear. I then saw more solder appear after I remove the heat.
I installed the pipe and - touch wood - no leaks yet!
I may practice on some spare pipe and joints so that I get better at it.
By the way - how far away from the joint should I hold the torch, and how far behind the joint should the heat mat be? Does the mat help the soldering process or is it there just to stop the my workbench catching fire?
Thanks again guys!