Why doesn't chicken get a second name?

Cows get beef and pigs get pork, but chicken is just chicken.

What's the deal?

@SecularJeffrey Sorry about going all pedantic, but:
The Normans (Norsemen from Normandy) invaded and conquered southern Britain in 1066. Animal names remained Anglo-Saxon, while foods they provided got Norman French names. The peasants had to care for the animals, the Norman elite ate them. So:

chicken = pullet (from poulet), although that has mostly disappeared

sheep = mutton (from mouton)

cow = beef (from bouef)

swine = pork, and I don't know where "pig" came from