He got back into the little Fiat and drove away along the Grove and up to the Common where he parked outside the Rye... and entered the saloon bar...
He walked across to the White Horse and drank one bitter. Next he visited the Morning Star and the Heaton Arms. He finished up at the Harbinger.
(From the first page of The Ballad of Peckham Rye, Muriel Spark, (1960))
As noted elsewhere, the Heaton Arms is now demolished, the Morning Star is now the Nag's Head, the Rye Hotel is now simply the Rye and the Harbinger is probably a composite.
(Note however that this reference is wrong on other details. The Clock House also overlooks the Rye and - re note  - Kings on the Rye/The King's Arms was demolished around 10 years ago, so it would have been around in Muriel Spark's time).