Yes and yes.

See if this helps 
//www.easternbeaver.com/Main/Wiring_Kits/H4_Kits/Installation/installation.html

So then do I need a hot wire to the switch?  and the green is the return from the switch to the relay?

In essence you need two power wires to the relay, one heavy wire from the fuse box to actually power the lights and a smaller gauge wire from the switch to actuate the relay. The ground on the relay is for this circuit, The lamps will be grounded at the mounts.

Power goes to the relay. 

power and a ground go to the relay to trigger it.

when triggered, power goes out to the lamps.

The green wire in your case needs +12V and the black wire is ground. These make a magnet pull a contact over and send power to the lights. It is just like a starter solenoid, which needs +12V via the white wire with red stripe, and a ground, via the body.

If the relay is powered by the red wire , I'm thinking power should not go to the switch first.  So I'm thinking the green wire grounded might complete the circuit.

If I get someone who can stand behind the car and yank the battery cable, I might try a test and just ground the green wire.  Of course I'll put a meter on it and see when it's live first.

BTW, I'm not understanding why anyone would want their high beams and fogs on the same switch.

It needs power.

The idea behind that diagram is that the driving lights only turn on when their switch is on and the high beams are on. That allows a person to dip the beams and go from high beams and driving lights to low beams and not irritate other road users.

Mur,
those are similar to my diagrams.  I've already made a switch panel with OEM MK 1 style toggles from wipers.  single throw, single pole. ON-OFF switches.  I won't be connecting this to the hi beams or other lamp switches.

I'll review them again and see if I can figure out my system.

Again, what I'm having trouble with is the single green wire from the relay to the switch, and ?? then what?  I need another wire on the switch either to ground, or ????  I'm lost.

This is someone’s wipac diagram:

//appraisalnewsonline.typepad.com/our_mini/2014/05/classic-mini-fog-light-wiring-loom.html

Here the green claearly requires a +12V source, and they suggest the high beams circuit as that is how to do it properly.

I'm wiring 2 pair of Wipac new lamps.  The relay kit has instructions like this, and I"m just wondering ??

Black =ground
2 blue=per lamp power and grounded at mounting
green=to the switch
red=fused wire which says goes to positive side of battery. (hot side of fuse box)

I'm confused.  It appears I power the relay, but there's one wire (green) to the switch on the dash. 

Do I ground the other terminal on the switch to complete the circuit?  (that would make it simple)