"Elvery's Elephant house" was a sporting goods and rubber products merchant, so called because of the large elephant displayed over the main entrance.
In Hades the funeral cortège passes by this establishment on its way up Sackville (now O'Connell) Street. In the late afternoon, Blazes Boylan's jaunting car retraces part of the course of the carriage that Bloom's fourwheeler took in the late morning, as he travels north from the quays to Bloom's house on Eccles Street. Sirens notes Boylan's passage by some of the same landmarks, including Sir John Gray's statue, the Elephant house, Nelson's pillar, Father Mathew's statue, and the Rotunda.
Elvery's was located at 46-47 Sackville Street Lower, at the corner of Prince's Street. I have not yet located any photographs of the building ca. 1904 or earlier, which is unfortunate because the establishment stood less than a block south of the General Post Office and was badly damaged in the 1916 Easter Rising. The site from which the photograph at right is copied also features a photo of a cricket bat from the Elvery's display windows, how held in the National Museum of Ireland. It has a .303 shell lodged in the hitting face. That caliber was used in British troops' Lewis machine guns and their Short Magazine Lee Enfield rifles. For more information see http://thecricketbatthatdiedforireland.com. The photograph displayed here comes from about 1950, but there are others dating to ca. 1920, showing the store soon after its 1917 rebuild.
Elvery's was the oldest sporting goods store in Ireland, with branches in Dublin, Cork, and London. It advertised an assortment of "waterproofing" services, reflecting its capacity as a rubber merchant. It is still in business today, but not on O'Connell Street. The main store (still proudly displaying the elephant) is on Suffolk Street, and there are several branch establishments throughout the city (personal communication from Gareth Collins). The building on O'Connell Street now houses a Supermac's, shown in the photograph at right. The plinth that held the elephant remains, sans elephant.