No worries. I'm pretty straight with standard residential wiring having been a general contractor for the past 25 years but I am also less comfortable with electronics or high voltage wiring.
Sorry if I am presenting what you may already know but I want to make sure we are on the same page.
Standard residential wiring is the US is typically as follows:
Three wires into the main service from the Utility company: Line 1 (110v), Line 2 (110v), Ground
Typical home circuit.
110vac (black wire = Line 1 (hot), (white wire = neutral) ( green or bare wire = ground). 110v is measured across the hot and neutral.
220v (3-wire), (black wire = Line 1 (hot), (Red wire = Line 2 (hot) ( green or bare wire = ground). 220v is measured across Line 1 & Line 2, or 110v from line 1 or 2 to ground.
220v (4-wire), (black wire = Line 1 (hot), (Red wire = Line 2 (hot) (white wire = neutral) ( green or bare wire = ground)
Where I am getting confused is when you say you have 220v to the SSR on a single wire? On your power supplies, for 220v, terminals L & N would connect to Line 1 and Line 2 . There would be no neutral, just ground.
Jay