This old print above shows a view of the old stone bridge spanning The River Foss. With haycart crossing.
"On the northern bank of the Kings Fishpond, at the west end of Layerthorpe Bridge, stood Layerthorpe Postern - a gateway to the city large enough to be called a bar, as indeed it sometimes was in the 14th century. The structure comprised a large embattled tower, to which a roof was added in the 17th or 18th centuries, and postern gate. The postern was demolished in 1829 when Layerthorpe Bridge was reconstructed." ~ From Book: 'The Strangers Guide Through The City of York and its Cathedral'. 1844
You might recognise the bottom view (see the Norman walls to the right - they are still there today!).
The bridge has again been replaced in the late 1900's with what we see today. You can see Saint Cuthberts Church, Peasholme Green in the background.
Info thanks to Raymond Wood.
Location in google streetview below:
Please let us know if you have more info.