Is it normal to remember a song i've only heard once as a baby?

I recently recognized a song, I've never heard before... It came on the radio and I remembered when I was a baby. I remembered our old house, I remembered where my parents were in the house that day and remembered being in our living room, staring at the stereo, while the song was playing. It was ELO's The way life's meant to be. When I told my parents, they smiled and told me this was true. They do remember me staring at the stereo in awe as the song was playing, something I would never normally do.

How weird and cool is that?! To remember something after 23 years! It's also a great song.