OOppss, meant my chicks coop, not your one weeks old! Thought that might be confusing after reading it, sorry!!!!LOL, me too Fred...spending additional, multiple, times in a cool water shower after doing chores, I am changing out their water every couple hours with cold water. That seems to help.
My flock is 3 weeks 3 days from hatch and in their coop, almost fully feathered already!
At one week, my large breed, BR's, didn't need but a 40 watt bulb, in the house brooder, for a few days ( they never did have the temps at what is said to be the "right temp" for chicks, nor a 250 watt heat lamp on them) I had to go by their behavior, especially since it is summer!!!...I would bet my last dollar that chick is too hot!!! Don't know about bantams...only had two in my whole life, and got them a month old, so they went right out to their own little coop when I brought them home.
Today is supposed to be even hotter than yesterday!!!! IMHO a 250 watt heat bulb is wayyy to hot, this time of year for that chick! Try a lower bulb, or NO light at all and see what the chick does! Good luck!
I might add a fan in the window of their coop today also!!!