J.N.
10 months old is WAAAAY to young to get any sort of diagnosis for ADD or anything like that. It sounds very much like my daughter. Never really slept much in the day, always getting in to things, didn't want to be held. She was too busy learning to crawl, walk, run, jump, etc that it seemed like I barely held her from the time she was 7 months until she was 15 months or so. When she was 3 and in preschool - and still extremely active - I asked about it. They told me it was still normal (it was a preschool connecting to the University's childhood development program - they know what they're talking about). She's now 10. She is moderately active, loves to play outside, play with toys and her little brothers, has a great imagination,and sometimes her mind wanders. And she's VERY determined (even stubborn). A normal 10-year-old.
So it sounds to me like you're daughter is just showing you her personality. It can be trying at times, but she's being her own person. Try to get her to take some quiet time even if she won't nap - lights out, lying down, maybe playing with a quiet toy. She may end up dropping off to sleep (but not always), and sleep may help calm her down too. Good luck and enjoy!