If you can get a glass test tube you should be all set. It looks like she's in a plastic tub and that won't work well for getting her started (but is perfectly fine for a few days) while she is in the tub you can offer her a drop of sugar water or a tiny bit of sweet fruit ... or a dead insect like a fruit fly or part of a cricket. She doesn't *need* food but if she eat it'll just make her stronger and better prepared for the next step.
It sounds like your kid has read a bit about ants or watched videos, so they probably know how to prepare the test tube.
What can be harder is just not bothering her for a LONG time.
Wrap the tube in a soft cloth and put it in a drawer away from light and vibrations. Check on her once weekly at most. You do not need to feed or interfere until she has her first generation born. This will take maybe two months.
As to if they are in your home? Probably not. But there was a nuptial flight near enough to your home that this queen found it and was looking for a nest site. Keep an eye out for other queens and either keep them as pets too or relocate to a wooded forest where they belong.
carpenter ants tend to invade homes not as queens, but by making a satellite nest from a big colony in a dead tree or stump near the house. You'd see lots of workers not dealate queens.
Good luck and I know many here would love to see how it all turns out!
Starting this July I'm posting videos of my ants every week on youTube.
I like to make relaxing videos that capture the joy of watching ants.
If that sounds like your kind of thing... follow me >here<.
