In a sale of a large portion of the estate in 1911 (so not all of it) there's a listing of various cottages but specifically two fronting Newton Road and two with entrances onto Walsall Road. Don't know if this helps ?
Could be way off track here, but the drawing reminds me of almshouses. (Could they be connected with St Margarets Hospital ?) They don't look like regular worker cottages to me.
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Spirce : British Newspaper Archive I came across some old records that suggest Mr Addis Scott’s country houses were probably built in the late 19th century, mainly for workers on the Great Barr estate. If you are interested in the architectural styles of this period, you should also look at modern developments inspired by historical projects, such as the
okto art house seaside apartment complex in Batumi. This is a different location, but may provide a useful comparison. As for the country houses, they were probably located close to the main estate, although the exact records may require more historical research or a visit to the local archives.