In 1868 the Evangelical Protestant Deaconesses' Institution and Training Hospital moved into Avenue House on the east of the Green (shown on this , about 2/3 from the left, 1/3 from the top), donated by city merchant John Morley *. In 1881 this made way for a purpose-built hospital of the same name on the site, which was extended in 1887 with the John Morley Wing. See the extent of the buildings in this (middle, bottom edge).
In 1899 it became the Tottenham Hospital. Another extension (what is now the left-most section of Deaconess Court, with the bay window on the ground floor) prompted yet another renaming, to the Prince of Wales General Hospital in 1907. The hospital complex would eventually absorb most of the land to the east of the Green. The hospital closed 1980-3 and the buildings are now residential: 'Deaconess Court' and 2a Elliot Court.
Sources include: , .
* Note: The John Morley we've identified died in 1848 so he would have had to bequeath Avenue House and then the Deaconesses would have had to take 20 years to set up their hospital there. Or perhaps his philanthropic son, Samuel Morley, gave the house in his father's name. Samuel had a residence in , about 1 mile away, from about 1860; father and son were strong believers in evangelical dissent: so we are confident we have the right family.

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