"Clinton" is between the river and 8th Ave, from 42nd to 59 Sts... Hell's Kitchen is the same, but actually goes down into the 30's from 59th St...
"Hell's Kitchen, also known these days as Clinton, was filled with slaughterhouses, breweries, factories and persons of ill-repute in the 19th and 20th centuries; thousands died in the violent draft riots of the Civil War (1863). The neighborhood has since improved greatly and contains many residences, galleries and businesses."
But yeah, basically the same thing...
(from
Virtual New York cuz I was curious myself

)
JG