Do you think she wants to toilet train?

I'm a tad confused about Claire at the moment. I'm not sure if she wants to toilet train or if she is just being a toddler!

Ok, so we use MCN at home, and alot of them have velcro. Lately, she has been going into the bathroom, taking off her pants and nappy and weeing/pooing on the floor in the bathroom. A few times she has also wee'd on the carpet.
She is also completely obsessed with watching DH or me on the toilet (yeah we're gross and dont shut the door when we go, lol).

She also goes to FDC three days a week and one of the little boys there is curently toilet training. When the carer changes the nappies, she puts the little boy on the toilet and Claire always wants to sit on it as well. So, Claire also gets to sit on the toilet too, although she doesnt wee or poo, she just sits on it looking really impressed with herself.

I think she is aware she has a full nappy. When its full she comes over to me and starts taking off her nappy and runs into the bathroom.

I'm not sure if this means she wants to use a toilet now?
Should I get her a little toilet (potty)?
She's 19 months. Is she a bit young for it?
She doesnt seem to get it that she isnt meant to just wee on the floor.

thanks for any clues or advice.

Wow Karina. I (obviously) don't have any experience there, but it sounds like she's really aware. Could be worth getting a potty and giving her the option? Esp if she is taking her nappy off before weeing and or poo-ing. If she should sit herself on a potty she might not do it on the floor?
Course, I've no idea! But it sounds like she sort of knows what's going on...