Haha that is funny! Maybe you're verrrry good looking! That's why the dad couldn't stop starting too! Lol
I've only one odd staring child. It would drive me nuts! I'd ask him to put his boots on all by himself (this kid was 3.5/4yrs). He would proceed to STARE at me whilst putting his shoe on backwards! I'd say "stop staring at me! Look at your shoe!" then he'd glance at his shoe and glance back at me! Arggggg
I'd also assume a child was doing/did something they shouldn't have when they stare at me. Like a "crap! Did she see that!!? Uh-ohhh"