My name is Lauren

Ryan and I have been working with Lauren to say her name. Last night she pointed to me and said "Mommie", and pointed to herself and said "Lawwee". It was the funniest thing. When Ryan got home, we pointed to each other and she would say "Gag-gee"(Daddy), "Mommy", and "Lawwee". She still doesn't know what is meant by "What is your name? ". She just stares at us when we ask that question to her. But when we ask "Who is this?" and point to her, she says "Lawwee".