Use the Piggy now and then, just in case any of the old neighbours show up. The four corners of Livvy/Price St I remember as being, Livvy Baths, the Bridewell, Marchbanks and top field. The Old English Gentleman's was on the Cleveland Street corner next to Birkenhead Brewery (now as cafe as someone said), had my wedding drinkies in there in 1966. The Shammy was good. Used to drink in the Cygnet many moons ago too, The Pacific, The Duke (occasionally). It mostly depended on where my oppos were drinking when I came home on leave. For any Cygnet hands out there, Jean Holmes passed away last week, she sang many a song in there and will be fondly remembered.
I've nailed it now, where the Old Irish was, just over the road from Saxon Street. I'm a bit slow at times and that's a fact. My bro got it mixed up with the Bank of Ireland too. All sorted now in my mind so I can sleep soundly tonight. Me and our kid even disagreed about where the prefabs were, alongside the bridewell. I had a school mate who used to live in them.
Is this The Old Irish Geltleman, the one with the yellow arrow? The red arrow pub I remember being open in the nineties but for the life of me I can't remember what it was called. https://britainfromabove.org.uk/en/image/EAW051424
It is the norm for street numbers to start nearest the Town hall and radiate outwards so the Old Irish Gentleman must have been at the top end of Price st.