An upstanding British family who is proud to enjoy a traditional dish ? I don't see what's so funny. Although it does make one wonder what the OP was searching for to have turned up a 5yr old news article...
When you sit on irc, you get linked to things like this.. along with things you wish you'd never seen (that cannot be spoken on this forum, but i'll give you a hit.. it involves a cup).
You know damn well why it is funny, either that or you've lived under a rock your whole life. But in the effort to give you the benefit of the doubt, I'll go ahead and spell it out for you. A 'faggot' in the U.S. is a slang term for a homosexual. Which is why the older child in the picture looks so enthused.
I'm playing dumb. As a Brit, I knew what these terms meant long before the MTV generation twisted them around.