What I mean is, if someone is struck by lightning, can they be said to “have been lightninged”? Seems clumsy.
‘Struck’ is the verb. Possibly ‘lightningstruck’
There doesn’t necessarily exist a verb for every specific detailed kind of event - for example, there is no verb to describe someone being crushed by (specifically) a falling piano,
“Fried” is the verb I’d go with here.
In olden days the term was “thunderstruck”. I don’t think it’s in common usage anymore, at least in the US.
Lightened.
Ahaha.
It is, however, it’s taken on a new connotation. To be thunderstruck is to be jaw-droppingly shocked at something. Bob was thunderstruck when his friend, Joe, dove headfirst from the plane without his parachute.
Alice was, in turn, thunderstruck when her friend June was unexpectedly Joestruck.
Wait, such specific words are a bit cumbersome, no?
Manstruck, diverstruck, idiotstruck? 
Zapped.
On a parallel note, what is the verb for ordinary lightning, no humans involved?
It is raining / It rained.
It is snowing / It snowed.
It is hailing / It hailed.
It is lightening? Lightning? / It lightened? It lightninged?
If you HAD to use Lightning on its own I’d go with is/was/will be Lightning for all tenses. Though generally I’d favor dodging it by using “stormy” or “shot lightning out of his hands” or other such imagery that keeps it a noun as it’s a bit clunky.
Enlightened?
It thundered - the lightning is implied. Similarly, stormy weather may be described as ‘thundery’ - not ‘lightningy’.
This entry shows thunderstruck to be both adjective and verb; however, the way it’s been used above is as an adjective.
Think of lightening as a projectile of energy, then you get struck by it.
After all, you don’t get ‘bulleted’, you get shot or hit.
I think “coyoteed” is appropriate here. Although typically a safe or anvil is implied, a piano is still acceptable usage.
Or perhaps “Looney Tooned.” 
Organized?
do there need to be verbs?
Lightninging. If it’s really bad, lightninginging.
Verbs important if you understood and not confusion.