Could be Hamstead Road near to Brown's Green. Further down Hamstead Road, towards the hill into Hamstead Village, the houses were extremely large and probably 1920's. I know of no other part of Handsworth Wood that has Edwardian houses in, they are mostly post-war. The area has been redeveloped, yes, but not much recently, mostly just prior to and just after the war. On Hamstead Road the gardens slope towards the pavement, at least I think they do, but there is not a council estate anywhere near. You may mean Grestone Avenue and the surrounding area, but they are private. Apart from this, I can be of little help, although I know the area very well. Wood Lane may be common in name, but that particular Wood Lane has been there since the early 1800's if not earlier. There is a cottage there which was built in the late 1700's, it may have been part of a farm. I wish I could help further!