A method and an apparatus for removing sulfur hydrocarbon compounds from a naphtha stream and for simultaneously removing sulfur hydrocarbon compounds from two streams is described. A separator vessel having a top, a bottom, a primary feed inlet and a co-feed inlet is disposed vertically above the primary feed inlet. The separator vessel further includes a catalyst bed disposed between the co-feed inlet and the top. A primary feed stream comprising sulfur hydrocarbon compounds is delivered through the effluent inlet and a vaporized co-feed stream that also comprises sulfur hydrocarbon compounds is delivered through the co-feed inlet. Vaporized sulfur hydrocarbon compounds from the primary feed stream with the vaporized co-feed stream pass upwardly through the desulfurization catalyst bed. Sulfur hydrocarbon compounds from both primary feed and co-feed stream are at least partially converted to hydrogen sulfide and non-sulfur containing hydrocarbons in the catalyst bed.