i have a hen that does that when their is a change in their normal routine.such as adding new ones to the flock.i added my broody and her lone chick in with the flock the other day and she started making that noise.
I'm new, but I've found some are just more vocal than others. I have one black sex-link that is just about to get renamed to Wendy Whiner. She makes a squawk similar to the one you recorded just about anytime things aren't going exactly her way.