Peas, Peas, Peas, what trouble you gave me?!

Over the weekends, I felt adventurous and decided to try a new dish for my baby.  I read of a recipe for steamed peas and felt like adding a little "greenery" to my baby's meals.  However, I could not be sure how a pea should be like - I could not find any bag of fresh peas from the supermarket.  Neither am I sure whether the frozen green peas were the correct ingredients.  Out of desperation to try the new dish, I bought a packet of snow peas and started peeling away the skin and extracting only the tiny, weeny peas inside the pod.  "Are these really the right peas?" I thought to myself.  Continuing my persistence and ignorance, I steamed these teeny weeny peas and fed my baby.  Surprisingly, she accepted the food without making any fuss.  And seemed to like more of it.  This is happy news to me.  But at the back of my mind, I am still uncertain how fresh peas should look like or in what form they come in.  Anyone knows?