Irish mob presence in Gotham?

I was reading Batman: long Halloween by Jeph Loeb and Tim Sale and realised that bar the Sullivan Crime Family and the very brief mention of Hell’s Kitchen as having been cyborgs home for a period I can’t find any storylines or characters that mentions Irish organised crime. I’m full Irish so maybe I’m misinformed but is Italian immigrants v Irish immigrants not synonymous with organised crime culture in America and American fiction? It seems like a waste to not use this idea further. I for one would love to see an Irish-American or even just Irish villain in Batman, whether that be an original character or an existing character that had their ethnicity and origins changed (black mask with a thick Irish accent would be badass but maybe that’s just me) especially considering the Irish mob are usually seen as more brutal and less refined than the Italian mafia. What are y’all’s opinions?