Here's how the song is sung by The Yonder Mountain String Band. You can hear their version at The Internet Archive if you have Winamp installed.

THERE'S A MAN THAT COMES TO OUR HOUSE

CHORUS: There's a man that comes to our house ever' single day.
Papa comes home and the man goes away.
Oh, papa does the work and mama gets the pay,
And the man comes around when papa goes away.

1. The man that comes to our house, he's very nice.
Comes in the summertime, brings Mama ice.
But the little piece of ice he brings soon melts away,(*)
Ice man comes back later in the day. CHORUS

2. The man that comes to our house comes to sell a brush,
Comes in a hurry, leaves in a rush,
And ev'ry time he goes away, Mama's in a pet,
Didn't get ev'rything she thought she ought to get. CHORUS

3. The man that come to our house drives a Cadillac,
Runs around the corner and parks it in the back.
Mama comes to the door, he's always sure to greet 'er
With "Open up, Honeybunch. Let me check your meter." CHORUS

4. When I grow up to be a man, I don't want to be
A plumber or a janitor, no siree.
Won't be a doctor with an office downtown.
I'd rather just be the man that comes around. CHORUS

[*This line is mostly unintelligible so I just used the line that Troll posted above.]