Yes, dd2 does. Not to worry, just a sign that their systems are under strain. If the extremities are freezing though, and they seem really bad, then worth seeing or calling the doctor. Calpol/calprofen and lots of fluids.
Alo, if you've given her a tepid bath (not recommended any more btw), wait until she warms up before you judge how she looks. You don't need to do anything for a temp apart from some medicine if needed and not overdressed.
Just to say that my kids used to get blue extremities with fever (it's cos the body is trying to raise its core temperature and blood in the extremities will not aid that). But y'know... watch and be a bit wary if it's not happened before
brainonastick thank you for advice about the bath - it was on the warm side of tepid but it might have forced a shock effect. I won't be doing it again, that's for sure, it scared the hell out of me at first!
Calpol usually works well for both DDs, but it hasn't done much this time - nurofen seems to be the way forward.
(ps in case you're not aware, you can give both Calpol and calprofen of you need - very handy to alternate 3 hourly when they are really ill and the medicine doesn't last the 6 hours. We're on plague watch here as well!)