I went to see the Child's Garden of Verse, during the Easer holidays with my children aged 3 and 4. I am sorry to say that it was greatly disappointing.
As a piece of theatre for an adult and older children's audience, it has its merits, but for younger toddler audiences I feel it was not money well spent at all, despite it being aimed on the Puppet Barge's website at people from 3 years and up.
My children were too young to understand it and were engaged only initially by the novelty of the puppets. They lost interest in the show within the first 15 minutes as did the three toddlers sitting behind us and the two slightly older children in front of us. Other children in the theatre watched but were distracted, talking to their friends for the most.
There was no laughter at all, or possibility to really connect with the characters. It was not appropriate for 3 year olds and with hindsight, I wish I had taken the children to a different show.