I had a BR with bright red comb and wattles who I was just waiting to lay me an egg.
Had a gentleman who kept chickens for years tell me to wait until we got some cooler weather. He was right. We had a couple of days where the mercury didn't quite reach 90 and that's when I got my first egg from that Barred rock.
I have a Jersey Giant that I think laid a soft shell egg today. Another BR that is thinking about laying an egg sometime this year, and the other 7 don't seem to want to grow their combs and wattles. If I'm lucky, they'll lay sometime in the next century.
I have never heard an egg song, and I have never seen any squating. Neither has DD, and she spends a lot of time with the chickens. The eggs seem to just magically appear. LOL