Developmental Psychology

I'm not a developmental psychologist. When I taught Intro to psychology, I liked some developmental stuff, but I've never really got down with the content seriously. My daughter is 2 years and nearly three months old. Today, she told her mother that "Daddy is Michael." She knows that Mommy sometimes calls me Michael, but she's never said anything so tautological before. Same evening she points at me and says, "You're a boy." Makes me want to do some serious reading in developmental psych. Something tells me that this is a little early for a little person to make such a connection.