Hey, Garg, I think you left out a verse:

Frankie (Adele Astaire) [to dog]:
I love your funny face
Your sunny, funny face.
You never bother
About your father.
Have you no shame?
You're just a mutt and nothing but!
Yet when you wag your tail,
You'll never be for sale.
Though you're no Rin Tin Tin, dear,
For worlds I'd not replace
Your sunny, funny face.

The song was introduced by Fred & Adele in a show called Funny Face in 1927. Like many Gershwin songs, it got used in many productions, with words changed to fit the situation. (other verses available upon request)

But I think the requester is looking for Donna Fargo's 1967 song, "Funny Face." comin' up in a jiffy.
-Joe Offer-