The name is an ironiccurse on whoever upholds. To have the name "bigcockus" is to have a rather small and or insignificant penis.
Bigcockus - Is usually inherited to those who believe themselves to be god, but in reality are really not, but in any case they will never come to terms with the fact that they are merely empty vessels with a tiny cock,
Fogey/fogy /fougi/ sl. (early 18C+, orig. Scot) old-fashioned, stuck-in-the mud.
Person with old fashioned ideas which he is unwilling to change: Come to the disco and stop being such an old fogey!
You think me an old fogeyand an old tory, his thoughtful voice said. I saw three generations since O’Connel’s time. I remember the famine. Do you know that the orange lodges agitated for repeal of the union twenty years before O’Connel did or before the prelates of your communion denounced him as a demagogue? You fenians forget some things. (James Joyce, Ulysses. PenguinBooks,1992. p. 38)