My grandmother was born at Broomshields Home Farm in 1869 and I believe that the name of the farm was often shortened to 'West Shields' and it may still be known by this name.
Regarding the history of the hall, Whellan;s 'History, Topography and directory of County Durham, 1894 has the following:
"Satley.
Broomshields is an estate in this township, which at the time of Hatfield's survey, 1375, was a separate township, divided into several parcels, which were ultimately given to the adjoining townships. The Greenwell family have helld this estate for more than four centuries. Peter Greenwell of Broomsheles occurring as early as 1488.
Broomshields Hall is a good residence, occupying a fine situation, overlooking a well-wooded and diversified landscape. Through the dene close by flows the Pan Burn. The Hall was rebuilt in 1723, and additions have since been made by different members of the family."
In the 1950s and 60s the Hall was owned by Bartram & Sons, the Sunderland Shipbuilders.
Wearsider.