The Square Root of 7991929

Some things about this puzzle are probably pretty obvious. Others, undoubtedly, are not. For example, what on earth could the square root of 7991929 have to do with a list of words? Courtesy of Jebediah and Jacob of Lancaster.

 

Never odd or even.
Do geese see God?
Was it a car or a cat I saw?
Stella won no wallets.
O stone, be not so.
Too bad I hid a boot.
No devil lived on.
Madam, I'm Adam.
Yo! Bottoms up, U.S. Motto, boy!
Rise to vote, sir!
No "x" in Nixon.
Pull up, Eva, we're here, wave, pull up.
No lemons. No melon.
Not a banana baton.
O Geronimo! No minor ego!
A Toyota's a Toyota.
"Knight, I ask nary rank," saith gink.
If I had a hi-fi…
Ma's as selfless as I am.
Now do I repay a period won.
Lonely Tylenol.
May a moody baby doom a yam?
I made border bard's drowsy swords; drab, red-robed am I.
Warsaw was raw.
A dog: a panic in a pagoda.
I, man, am regal. A German am I.
Do nine men interpret? "Nine men," I nod.
"Naomi," I moan.
Draw, aye, no melody, dole-money award.
Rats live on no evil star.
Ah, Satan sees Natasha.
Adelberta was I ere I saw a trebled "A."
Pa's a sap.
Too hot to hoot.

Hints

Two different songs are referred to in this puzzle.

Take out the items in this list that can be found in one, and the first letters of the rest correspond with the first letter of words in the other song, but look at the last letter instead.