To be honest, she sounds like a typical terrier who has been allowed (or been forced, through boredom) to make her own entertainment. With decent exercise, some structure to her day and ongoing training, she'll probably turn out just fine.
Rescues will very rarely take in or attempt to rehome genuinely aggressive dogs.
Reading between the lines I would say her 'bite history' likely refers to snapping at the kids, which could be for any number of reasons but many tend not to be the fault of the dog. Terriers are tenacious but not necessarily patient! By nature, also, they are quick and 'grabby'.
She does look very sweet and perhaps that has been her downfall with homing; that cute-as-a-button face is attached to a dog with inherently strong prey and chase drives, combined with a big capacity for exercise. She's not a 'lap dog' or a child's pet by any means.
She looks great fun. Not easy, but fun. I'd be seriously tempted!
Disclaimer: I've never met the dog and could be talking complete rubbish about her, but I do work with a foster-based rescue and a training club and this is the impression I get of her.