What beej said: the volume knob is your 2nd "tone" knob. Or only "tone" knob on an Axis/EVH.
What kind of blackface was cloned and how precisely? On a Deluxe Reverb, which is what I use primarily, the vibrato channel has a bright cap whereas the normal channel does not. Also, for each channel, the two inputs offer different amounts of gain. If you have such options, experiment there.
My secret weapon going into the Deluxe Reverb's vibrato channel is a Bogner Harlow pedal. Level 9:00, Bloom 9:00, Tone 9:00 (warmer) - 12:00 (normal). It is not set to sound noticeable, but it makes everything sound sweeter.