I am not a fan of any of the names. I like Reggie but not Reginald. Could you unofficially use Bootlace & Black?
As in
Reginald 'Bootlace' Floyd *lastname* & Petunia Delta 'Black' *lastname* Sort of as nicknames.
That way they are not on the birth certificate but you can still call them that until Spock can decide if they like the names or not.