You have one memory of all the time before you could walk, and it just so happens to have been caught on film? You don't find that suspicious?
No I do not. Years of my early life are on film. My parents were enamored with their camera, it was frequently set up to film the entire room, passively.
When I say my mother searched for the moment, I mean she searched through tapes that had never been viewed from her archives.
I normally try to live my life in the spirit of XKCD 386, but I leave this response for the sake of clarification, to not discourage any future readers.