My DD was suitably cringe worthy in her day, I'm sure, but since I didn't take her on until she was 10, I don't know about all the little kid stuff.
However, my mom was nanny to a young child when I was in high school, and I baby sat him on weekends and in the evening occasionally for pocket money. I remember one memorable weekend we had gone (me, mom, my teenaged sister, and the youngin') to a museum nearby that had a free family day every weekend, and a really great kids area with hands on exhibits and lots of fun things to do. I was in charge of the youngin', as I was getting paid.
One exhibit they had was 'mothers and babies', with pictures of mothers and children through the ages, and the children were removable (like those wooden puzzles for small children). The idea was, you took them all out, and put them back where they belonged (using shapes and painting styles as a guide). They had the names of the painting on the back, just in case you got stumped. One was a Jesus and Mary. For some reason, the youngin' loved the Jesus piece, a lot. He didn't want to put it in the painting, but wanted to use it as a puppet and play with it. We kept telling him he had to put it in, so we could move on and let other kids play too. He refused. Eventually I just pried it out of his hand, put it in the painting slot, and tried to pick him up to move on (he was about 22 months at the time). He started wailing "Jeeeeeeeeeesus!! I love Jeeeeeeeeeesus!!! Give me Jeeeeeeeeeesus!!!" at the top of his little lungs.
I was so glad his parents weren't there. They are sternly atheists, and this just may have sent them over the edge if they didn't know what was going on.