Here's the bowling green site on a later 1848-64 OS map [LRO]

Notice that the lanes conform to the old boundaries of the Green. One is so named 'Green Lane', on the east. 'May Street' is the western boundary, and 'Pleasant Street' was the northern boundary, which was an extention of 'Lydia Anne Street' which dates from the time of the green [see 1795 map].