In real life, the term 'babysitting hairless pussy' is rather odd and unclear. If by 'pussy' you mean a cat, then yes, there could be a situation where someone babysits a hairless cat. Hairless cats require special care like any other pet, such as maintaining their body temperature, proper diet, and skin care. However, if this is some sort of made - up or inappropriate context, it has no real - life equivalent in proper situations.
One day, I started babysitting a little hairless pussy. It was so tiny and cute. I had to make sure it had enough food and water. I also played with it using a little ball of yarn. It was a very curious little thing, always exploring around the room.
One strange behavior a kid might have while babysitting could be excessive shyness. They might hide behind furniture or avoid talking. Another could be extreme curiosity, like constantly asking questions about every little thing in the house. For example, they might want to know how the clock works or what's inside every drawer.
One strange habit kids might have while being babysat is excessive thumb - sucking. It can be a way for them to self - soothe. Another could be a fascination with collecting small objects like pebbles or buttons.
Granny teaching little girls such things is extremely inappropriate. It goes against all notions of proper upbringing and protection of children's innocence. Such stories are morally repugnant and should never be entertained.