The Rose and Bottle or Phoenix Tavern or Power's Inn or Jude's Hotel

As McHugh notes, this list of pubs is a reference to the Ouzel Society.

"In 1695 the Ouzel Galley, a merchant ship, sailed from Dublin harbor. As nothing was heard of her for several years, she was presumed lost and the insurance paid. Five years later, in 1700, she sailed into Dublin harbor with a valuable cargo and the following story: it had been captured by Algerian pirates who impressed the crew; only years later was the Irish crew able to re-take the ship and sail it home.

To whom did the ship and cargo belong? The lawsuits left the cases unresolved until a committee of merchants arbitrated them to all claimants' satisfaction. After this success, in 1705, the Ouzel Galley Society was founded to arbitrate commercial disputes without recourse to courts or lawyers. They met at various pubs, including the four mentioned in the Wake, to conduct their business. The Society, a forerunner of the Dublin Chamber of Commerce, gradually turned into a fraternal organization, was dissolved in 1888."

Source: Mink, L. - A Finnegans Wake Gazetteer, Oxford University Press, pp. 434-5.