Yes, sorry, the readily available 'baby' toothpastes have some fluoride in them.

Muminalice, if you can encourage your DD to spit the toothpaste out, and rinse, then she should be fine. If she's not up to that yet then it may be a good idea to wait a bit longer, as there is such thing as too much fluoride . Having said that though, is your tap water fluoridated? I'm guessing not?