Looking at the answers from Neal, Jerry, Susan and Steven, it seems that we actually have two different expressions here:
Take ill = only AmE. Very rarely used any more. Sounds either archaic or rural.
Be taken ill = only BrE. Slightly old-fashioned but still in use, especially in polite non-medical contexts.
Thoughts, anyone?
SuKi,
I can’t disagree. If someone were to say they had taken ill, this sort of image would come to mind:

I must say the Germans have given us some great pharmaceuticals
