The 78 of this is available at Juneberry78s.com, a pretty clean copy. The singer's voice is a little piercing and hard to understand, for me, and there are two partial lines I just can't hear at all, but here's what I get from it:

Down in the White House, preparing for his rest
Al and his buddies are doing their best,
He'll win, bound to win.

Hoover's in the northland, he's firing his gun
[...] is winning everyone,
Hard to beat, he's hard to beat.

We hear people shouting, No booze! they say
It's running free now, you can get it any day
From bootleg-gers [singer accents on "gers"] and killers too.

The sugarhead they make now will make you bounce around
The brandy too will put you flat on the ground,
Bad stuff, hard to drink.

It won't be long now till she will be free
Then we'll make corn likker as pure as can be
Free from lye, and sugar too.

When booze went out, we didn't think then
That we would ever get together back again
She's coming back, back again.

Let's nominate Al Smith, nominate I say
[...] on election day
Yes true [through?], all the way.

He made a good governor, you all will agree,
He'll make a good president, as good as can be,
Yes he will, yes he will.

Repeat verse 7