And both the Mickeys (Finn and Bliss) in question derive from the slang term for a Hibernian, yes?

You called?

Cecil Adams has one version of the "Straight Dope" on this:
http://www.straightdope.com/classics/a3_092.html
[quote]
Most word books say the origin of "Mickey Finn" is obscure. But Cecil has come across one colorful if not necessarily reliable explanation in Gem of the Prairie, a 1940 history of the Chicago underworld by Herbert Asbury. Asbury claims the original Mickey Finn was a notorious Chicago tavern proprietor in the city's South Loop, then as now a nest of hardened desperadoes. In 1896 Finn opened a dive named the Lone Star Saloon and Palm Garden, where he fenced stolen goods, supervised pickpockets and B-girls, and engaged in other equally sleazy enterprises.

Around 1898 Finn obtained a supply of "white stuff" that may have been chloral hydrate. He made this the basis of two knockout drinks, the "Mickey Finn Special," consisting of raw alcohol, water in which snuff had been soaked, and a dollop of white stuff; and "Number Two," beer mixed with a jolt of white plus the aforementioned snuff water.[quote]

So, not necessarily a generic Irishman, but possibly a particular one.

hibernicus, your Mick-in-residence.