It sounds like she doesn't feel secure where she is. My cats used to do this whenever they felt insecure in a place or diddn't like where I'd put their "nest", especially if they are first time mommies, they need to be secure.
Unfortunately, although you try to be on the ball so to speak, you can't always prevent tragedies. One of my cats was a VERY nervous mommy, and unfortunately, moving the babies caused two infant fatalities, because she tried moving them behind pillows, and the babies dropped behind them. I wasn't fast enough to catch it, and the worst happened.
I'm lucky in many ways, that when I've had cat pregnancies, they've been near in tandem and the moms co-raise the babies, so if there is a nervous mom, the other usually calms the nervous mom down and helps stabilize the kittens. I'm a big fan of co-raising, because the kittens are always healthier & more affectionate because of it in my experience.
It sounds like, if she stays with him in the lounge, looming over him, that she is starting with him, but is getting interrupted. Or she gets tired after one if it's a big litter. It sounds like wherever you have her, she's panicking.
You need a dark, secure place for her. A broom cupboard is perfect. Lock her in with the kittens, her litter tray, her food and water, but first make sure there is air. Mommy cats in the early infant stages, shouldn't move around too much. They prefer being with the babies. They'll move when they want food or water or to use the litter box. If she's this fidgety, I don't think she likes your choice of where you have her.
Keep in mind, I don't think open topped boxes are good, or washing baskets, the mommy cat will feel so insecure, she'll feel vulnerable, after all, if in the wild, with an open topped box, in the middle of a room, what protection does she really have? Somewhere nice, dark, warm and secure will do her well, and if it's behind a locked door (like a wardrobe or broom cupboard) she can't move far anyway.