Is there a designation between Poetry and Doggeral?

For instance: 

I dig Bobby Dylan
And I dig Johnny Cash
And I think Waylon Jennings is
A table-thumpin' smash

Or

Almost heaven, West Virginia
Blue Ridge Mountains, Shenandoah River
Life is old there, older than the trees
Younger than the trees . . .
West Virginia, mountain mama
Take me home, country roads

I know these are song lyrics, but if they were written without music, I think people would see them as some kind of verse. They may or may not think much of them, but doggerel?

Doggerel, a low, or trivial, form of verse, loosely constructed and often irregular, but effective because of its simple mnemonic rhyme and loping metre. ... It appears in most literatures and societies as a useful form for comedy and satire.

Well, I have to say that "doggerel", as low-falutin' as this kind of verse may be, strikes me as unnecessarily pejorative.

I am searching soon for a new word.