When my Barred Rock Xenobia is on the nest, she makes her very own weird distinctive sounds while she's working to lay her egg. It's a low pitched, kind of rusty-sounding "Rrrrr-rrrr-rrrr" growly-rumble we've started calling her "rusty dinosaur" sound. None of the other 7 girls vocalize while they're laying, just Miss Xena!
When she's done, she just leaves the nest box - never heard egg song from her. I'll suddenly realize the rumbles have stopped and, "Oh, hi!" as she moseys out of the coop to go on about her chicken business. Funny that she doesn't do egg song as she's quite vocal otherwise, quite the vocabulary of chicken prattle in her distinctive alto voice.
She's very mellow & sociable and not averse to being held & cuddled, which is pretty irresistible since she's such a plush floofy girl!