At 3 year old i think she is old enough to take over some of the caring for the puppy with your supervision, puppy basically see's your little one as a plaything and unless this is curbed as your daughter wont have authority over the pup so young your pup could see its self higher, so let her walk around the garden holding her on the lead, shouting the pup and getting it to sit, help at feeding times let your daughter put down the food and if pup is ok with letting you take the food away let your daughter do this all with very close supervision from yourself. Also let your daughter stop/end play get your daughter to stop stand up and walk away.