When do your lyric inspirations hit?

I tend to get creative when I am tired and bored. People also can feel creative after a few drinks. According to what  I had to study about the brain when I use to work with drug addicts and alcholics  it has alot to do with our frontal cortex. Our frontal cortex is our major dopamine hub. Our creative response at night has nothing to do with the time of day, but everything to do with our energy cycle.
You get tired at night? Your frontal lobe is missing some vital energy signals, and therefore you’re going to end up being slightly more creative than regular.
Not surprisingly: the same creative response your brain has to getting tired is the exact same as when you drink alcohol.
Alcohol inhibits the frontal cortex, almost identically to how pure exhaustion does. If you want to reproduce the effect of exhaustion on your creativity all you need to do is have a few drinks.
Not too many, of course, because the more you drink the less other critical thinking functions have to keep going. If you are a drinker the trick is to drink just the right amount of alcohol. If your a  drinker or not a drinker, keep a paper and pen handy so when your  brain is tired and exhausted, and  you come up with a great idea you can write it down. Another way is to hit record it on your cell phone and save the idea that way. Some of my  best ideas come in the shower.Research shows you’re more likely to have a creative epiphany when you’re doing something monotonous, like fishing, exercising, or showering. Since these routines don’t require much thought, you flip to autopilot. This frees up your unconscious to work on something else. Your mind goes wandering, leaving your brain to quietly play a no-holds-barred game of free association.
This kind of daydreaming relaxes the prefrontal cortex—the brain’s command center for decisions, goals, and behavior. It also switches on the rest of your brain’s “default mode network” (DMN) clearing the pathways that connect different regions of your noggin. With your cortex loosened up and your DMN switched on, you can make new, creative connections that your conscious mind would have dismissed. So for me creativity comes when I am not trying to be creative. If I try to write a song or poem  it doesn't happen usually.  Good ideas hit usually at inapropriate times for me.

Beamer after a few  beers if nothing happens I always sleep well.

After a few beers, not stoned just a few. No distractions such as tv. Just me, my guitar and beer. Heaven.

Apparently for me, when cleaning my carpet.

Usually after a few hits of weed

99% of the songs I've written have started with the lyrics. Many were in response to something interesting I have read or something someone said which gave me an idea for a hook.  Other times my inspirations have been due to my experiences (songs about family, friends, farming, kayaking, camping, etc)  Many song ideas have come to mind while driving.  I turn off the radio and just enjoy watching my surroundings and soon lyrics and music ideas begin trickling into what few brain cells I have left.  I've driven from Ohio to Florida several times to visit family and have never turned on the radio - usually resulting in a couple songs per trip.  Once I come up with lyrics, the next step is come up with the time signature, key, tempo, etc that supports the "mood" of the song.  (Usually referred to a "prosody")

As a crossword puzzle fanatic, I've noticed that words that I can't think of in the morning usually will pop into my brain in the evening and vice-versa.  I've also noticed a difference in songs I've written in mornings or evenings. 

DE

I have the worst ever, permanent case of writer's block. I'm an awful songwriter, not because my ideas are poor but because I immediately begin criticizing myself as soon as the first notes come out of my head. So generally, inspiration never hits me because songwriting is such a stressful process.

But I'm working on it!

Thank you Richard I tried to make it into a song but I couldn't make it flow. I will attach a song I wrote about getting inspiration to write poems and songs. https://www.youtube.com/watch?v=YZxTgupBT8U

I feel for ya bruther. Here's one of my favorite songs that puts things into perspective.
https://www.youtube.com/watch?v=hmhDJBjJR6k

That song is in my line-up.  I usually sing it when the Jesus Songs come around.  It's not specific to faith, but it fits my thinking for a source of peace.