I get mine on the third Wed of the month - alphabetically?
No, alphabet has nothing to do with it.
SS used to be sent to arrive on the 3rd of the month. That hasn't changed for anyone who is receiving their SS on that date.
A change was made several years ago that spreads out the deliveries, whether by direct deposit or by check. People born in the first third of the month get theirs on the second Wednesday of the month; people born in the middle third get theirs on the third Wednesday; anyone born in the last third of the month get theirs on the fourth Wednesday.
It goes by your birthday. Mine is on the 29th. Just had my 70th yesterday.