Refers to a pair of girls, where
one of them is thin (yet of marginal looks), while the other is a fat girl. The thinner, uglier girl pairs up with the fatter girl in order to make herself look better (that is,
in the eyes of potential suitors). A
reference to the classic comic duo of Laurel & Hardy, where there is a thin person (Laurel), while the other (Hardy) is bigger (in this case, owing to the heavier girth, it is corrupted to Hearty- like a hearty appetite).
(Roger and Dave, looking at two girls
on the street, resembling the aforementioned above)
Roger: Hey, Dave. Look at those two girls.
The skinny girl is kind of ugly. What is she doing hanging around with the fat girl?
Dave: Don't you know? It's a
classic case of a Laurel & Hearty. Can't you see that the thin ugly girl is using the fat girl to make herself look better?