Our way home

I just got back home from work and I had had to pick my daughter up at her nanny's. She calls her 'nounou' which is the same word translated in French.
I finish my work at 14:15, then I have to cross a street and walk for 3 minutes and there I am. It's very convenient to know that my child is only minutes away from me.
Then I put her into her stroller and we go back home. She knows that at a certain place, there is an artificial pool with goldfish inside.
When we were heading to that pool, she was singing 'Humpty Dumpty' and a woman heard her singing. She approached and said to my daughter in French 'Oh you sing very well! What's your name?' My daughter is more used to answering in English so she was a little bit shy. Then the woman said 'Aurevoir' and I said in French to my daugter 'Say bye-bye to the woman' and she suddenly replied in English 'Bye-Bye Gloves'.
She noticed that she was wearing gloves...

I am very proud of her improvements! On the trail, she saw a dog and she pointed it and said to me 'Ooooh the dog! He's got a tail!'
She made a nice sentence! It's so encouraging!
She makes me laugh because when she wants to speak French she has got the American accent.

For a month now, she's understood the function of the words 'I' and 'You'. Now she knows that 'You' is not implying her but the other speaker instead of the word 'I'