In the 1882 directory this block is called the Donoghue Building.
The Hotel Carmody then the Hotel Gorman (Edward Gorman) and then the Hotel Daley were at 122 to 124 High Street. In 1922 it is the Hotel Washington.
Sanborn map analysis:
Sanborn 1915 map it is called Hotel Gorman
Sanborn 1949 map it is called Daly’s Hotel