trot after (someone or something)
To follow along behind someone or something at a pace slightly faster than a walk. It was so cute seeing all the preschoolers trotting after their teacher on the way to the zoo. My dog always trots after me as I make my way around the farm each day.
trot after someone
to follow along after someone, as done by a small dog. The puppy trotted along after the kids wherever they went. My little brother would always come trotting after us, annoying us a lot.