One of a group of streets off Shore Road whose names begin with York, all built in the 1930s on land which had previously been a football ground. It seems likely that the names refer to York Road, Shore Road being its continuation. See York Street / York Road for the origin of this name.
“Resolved that the following names for new streets be approved: …York Park, York Drive, York Parade and York Crescent for New Streets Off Shore Road on the property of Mr F. McKibben. (22nd May 1934).