A child plays with her father's boots.
A child players with her father's boots while he is at work.
It's hard for a child to play with their father's boots while he is at work, as generally children are at school during the time most parents work. They could be playing with his boots at any time.
Playing does not indicate that the child is playing with her father's boots while he is at work.
A child playing with her fathers boots does not imply that her father is at work.