[Rebel_Ace]

No need to get your knickers in a knot, that is just a later verse, as here are the complete lyrics:

WALKING IN A WINTER WONDERLAND
Sleigh bells ring, are you listening,
In the lane, snow is glistening
A beautiful sight,
We're happy tonight.
Walking in a winter wonderland.

Gone away is the bluebird,
Here to stay is a new bird
He sings a love song,
As we go along,
Walking in a winter wonderland.

In the meadow we can build a snowman,
Then pretend that he is Parson Brown
He'll say: Are you married?
We'll say: No man,
But you can do the job
When you're in town.

Later on, we'll conspire,
As we dream by the fire
To face unafraid,
The plans that we've made,
Walking in a winter wonderland.

In the meadow we can build a snowman,
And pretend that he's a circus clown
We'll have lots of fun with mister snowman,
Until the other kids knock him down.

When it snows, ain't it thrilling,
Though your nose gets a chilling
We'll frolic and play, the Eskimo way,
Walking in a winter wonderland.

[9YearLurker]

I can’t think of how many hundreds of times I heard that song and never actually listened to what they were saying about the snowman.

[LauraJean]

To tell the truth I thought when I heard this as a kid the lyrics where “Then pretend that he is parched and brown”.