Tremolo is when a sound varies back and forth with regard to amplitude (regardless of the Fender Rhodes and some old Fender amps having a trem mislabeled "Vibrato").
Vibrato is when a sound varies back and forth with regard to pitch (regardless of some old Fender amps having a vib. mislabeled "Tremolo").
A modulated delay will produce a vibrato. Modulated delays can be made using analog solid state bucket brigade chips. It can also be produced using the doppler effect.
A Leslie cab produces a delay based vibrato.
A modulated phase-shift circuit will also pruduce a vibrato, but with a different flavour, because the amount of pitch shift will depend on the frequency of the source signal. This effect is often referred to as "vibe". The uni-vibe used phase-shift circuits to produce its vibrato effect. Phase-shift circuits can be built using an all tube signal path, as is the case in some old amps.
The chorus effect occurs when a vibrato'ed signal is combined with a dry signal (or two or more signals with different vibrato are combined). This will produce comb filtering, regardless of whether the vibrato is delay-based or phase-based, but the comb filtering will be different.
A Leslie cab does not produce a chorus effect, unless you combine two of them. Or combine one with a "normal" speaker.
The chorus setting on the uni-vibe was really just dry signal mixed in with the virato'ed signal (as far as I know). This kind of effect is usually referred to as a "Phaser" today. Of course there are many parameters to consider and phasers can sound quite different from each other. Most do not sound like a uni-vibe "chorus".
A delay based chorus effect is often referred to as a flanger nowadays if it has a feedback/resonance circuit. Flange was originally produced by playing two identical tapes simultaneously, and touching the flanges on one of the tape reels so that it would slow down and speed up again, producing a modulated delay. When the sound was combined with the other tape, the result was a chorused or flanged sound.
Today, the term chorus is almost universally taken to mean delay based comb filtering with no feedback/resonance to accentuate the effect (that would be flange).
Sorry for the rant, couldn't help myself
Hope a few things got cleared up.