The Batman television show starring Adam West aired in the USA from 1966-1968.

It will be interesting to see if there are any parodies of this rhyme that feature Batman,Robin, and the Joker before 1966.

**

Here's a parody of "Jingle Bells" that includes a reference to "Chevrolet". Note that the person posting it indicates that he (or she) remembers singing this in "elementary school". Unfortunately, the poster doesn't provide any date for when he or she attended elementary school. Also note that the poster indicates that he or she added more to the elementary school rhyme-without indicating where the remembered version ends.

"Some kids would sing this one on the bus when I was in elementary school, so I elaborated a bit on it & sent it in. Merry Christmas! Frohe Weihnachten! Buon Natale! Weso³ych Œwi¹t!
Dashing through the snow
In a beat-up Chevrolet,
Over the roads we go,
Honking all the way.
Plowing through the snow,
Pushing it aside,
What fun it is to ride & sing
A Chevy song tonight!

Oh, jingle bells, jingle bells,
Jingle all the way.
Oh what fun it is to ride
In a beat-up Chevrolet!
Hey! Jingle bells, jingle bells,
Jingle all the way.
Oh what fun it is to ride
In a beat-up Chevrolet!

We're driving down the road
In our beat-up Chevrolet,
It's snowing left & right,
But it won't hurt our day.
Plowing through the snow,
Pushing it aside,
What fun it is to ride & sing
A Chevy song tonight!

Oh, jingle bells, jingle bells,
Jingle all the way.
Oh what fun it is to ride
In a beat-up Chevrolet!
Hey! Jingle bells, jingle bells,
Jingle all the way.
Oh what fun it is to ride
In a beat-up Chevrolet! "

http://www.amiright.com/parody/misc/christmassongs6.shtml