Oh my you get up way to early for work.
I agree something must of put the rooster on alert. Perhaps your coming out scared it away? I have seen more neighborhood cats around with this cold & frigid temps. I am guessing that other predators are around as well with all this cold weather that I am sure is making finding food harder.
Putting hardware cloth around the coop is top on my list when it warms up. I need to wait for a warm day so I can pull off old tarp & put the hardware cloth up then put the new billboard tarp on over it.
I know I hate the early mornings but it lets me have a 4 day work week, and saves me 3-5 hours of commuting time and maybe $30 in gas....and I get a whole free day!