I have never been especially aware of this pub even though I pass by it almost every day of the week and until now I was unaware that it was Mother Kelly's

The modest size and scale of this pleasantly appointed public house has been built in a style in keeping with the rest of the terrace. Its modest scale is belied by the numerous decorative stonework embellishments which enliven its façade. An elaborate dentillated cornice, finials, block-and-start quoins and most notably its masonry shopfront, provide a sense of grandeur to the building. Talbot Street was laid out in the 1840s, following the sale of Tyrone House, with this portion of the street being constructed some decades later.

As I was informed that it was associated with James Joyce I undertake some research and here is what I discovered:

This pub is located across from ‘James Joyce Street’ which leads to ‘Foley Street’ (once known as ‘Montgomery Street’ or ‘The Monto’). The area was once the largest Red-Light Districts in Europe, which Joyce referred to as ‘Nighttown’ in Ulysses.
It was referred to in Ulysses as Cormack's ... apparently in changes its name on a regular basis.