Hiya - Sorry to hear that you have kitty troubles. If she is sleeping through the night and has plenty of toys then I would be inclined to think along the same lines as Kylza. She might not be feeling quite right in the tummy. Do you know what she was being feed before you took her? It's just that young kittens digestive systems don't take very well to having their food changed dramatically. By that I mean if she was on premium dry kitten food and has be quickly switched over to tinned stuff that might be a cause. Are her poo's solid or does she struggle to poo? I'm personally a big believer in not feeding cats tinned food at all.

The other thing is that they need your human contact for little active plays with them throughout the day. 4.30am is when she is (unfortunately) waking up and she needs to be feed, taken outside for a wee and then stimulated by someone for a while. (Normally she'd play with the others in her litter) Playing with her will get her all tired again and she might go back for another sleep.

The ticking clock as a good idea, as was already suggest by another poster and also put a radio with her so she has some noise.

Good luck I hope you get things sorted out soon so that everyone can enjoy the new addition.