It was true that Autumn was catching almost none of what Peter was saying, after all, the girl was deaf, and as much as people liked to think that people with hearing impairments could simply read lips, such was not the case here. Not just for the simple fact that lip reading was, in actuality, quite impossible with how limited the shapes of a mouth were in forming endless variations of sound, but also simply for the fact that Autumn was merely a child. She was still learning ASL for God's sake! Really, it was lucky she was able to write as well as she could. Better than the average seven-year-old, that was for sure, but being able to write didn't help with understanding people when they rattled on like Peter was.
The best the young girl could put together was that the man was questioning her presence, and perhaps where someone else was, what with the way he kept looking down the beach a ways. She wondered who he was looking for, and if maybe they were the reason he kept running away. She knew that her daddy would run away sometimes when her mommy was upset about something he did. It was never anything serious though, usually, it was just that daddy had eaten mommy's treats, or had forgotten to fix something around the house, or that one time a lady was being really nice to daddy for some reason. She wasn't sure why that last one upset her mommy so much, but she remembered her daddy having to hide for a while afterwards. Maybe that was why this man was hiding so much?
She didn't get to think much on it though as Peter knelt in front of her and offered her the candy bar. Looking down at the chocolate, her smile grew even wider, and she reached to grab it, eagerly, before stopping as she spotted something about the label of the treat. Pulling back, she frowned slightly, then shifted a little before holding out her wrist for the man to see the [url=https://static.platform.michaels.com/2c-prd/250204015688800.jpg?fit=inside|800:800]simple paracord band[/url] that was an medical alert bracelet.
[Autumn Fitzpatrick. Peanut and Treenut Allergy. Deaf.] the band read simply, and then she pointed to the label of the candy being offered to show that it indeed contained nuts. Her warm gaze returned to the man then, frown still in place, though after a moment, she smiled once more, that big goofy grin not straying long as she simply signed 'thank you'. 
With that, she shifted, pulling her backpack to take it off of her back and instead position it in front of her, wearing the bag across her front the way so many children did. Biting her tongue, she dug around for a moment, before pulling out a colorful pad of paper and a pen, with which she then proceeded to write the words 'why hide' along with a doodle of some trees and a stick figure that was presumably Peter.
Before she could show the communication to the man, however, someone called out to the two of them. Autumn, of course, couldn't actually hear them, but they were loud enough that, much the same as she could 'hear' sirens and thunder, she was able to know that someone was calling. That, and the baffoon was standing their waving their arms in the air to get their attention. Not all that hard to hard to miss, even without hearing...
With not another thought, she shoved the pad of paper and the pen back in her bag, returned the backpack to it's proper placement on her back, then looked at Peter with an almost challenging look before taking off running down the beach.
There was only one way to interpret that, even if it wasn't any form of proper communication: Last one there's a rotten egg!