Near the entrance to High Street from Market Street used to be a pond called the Horse Pool adjacent to the Palace Inn. Nearby was the Higher Swan pub's stables, with the below passage from 'Collectanea relating to Manchester and its Neighbourhood' revealing that the Higher Swan used to be called the Saracen's Head :
Higher Swan / Saracen's Head, Market Street. (c) google .
1. Collectanea relating to Manchester and its Neighbourhood, John Harland (1867).