One of mine is turning out to be very light sensitive. She's my only green layer so when her egg is missing it is very noticeable.
For the early part of the summer I had my flock going out at 9:30am- my coop is in deep shade and is therefore very dark in the morning, so until the automatic door opens, they're in the dark. Well, after many weeks of regular laying, this hen stopped laying for 3 weeks, not eggbound or ill in any way. Because chicken noise hadn't been much of an issue I moved the door opening to 8:30am, and within 2 days she was back to laying regularly. It happened again a few weeks later, though I caught on sooner, so it was only 4 days without an egg- so changed the door opening to 7:30- egg the next day.
None of the others ever stopped laying over the same period of time. This is about the time of year where the light seems to disappear the fastest as we're up north in Oregon, so I expect any day to have a repeat situation with her, though I'm running out of daylight hours.
So, it could be that this one chicken of yours is like mine and very sensitive to the light.
There are threads on here about the right kind of lights to use if you're trying to maximize laying.
It may be worth it to try lights to see if she starts laying regularly- then you'll have a good idea if that's the problem.
My coop is lit in the 2nd half of the day until I turn the light off around sundown, but the lights I have do not stimulate laying.
Personally I'm all for letting the hens have a rest, but I understand that you're under pressure from your parents, so you may want to look into that as a reasonably easy test.