1832 From the InternetCumberland street, Shoreditch2 Salisbury William5 Cope & SherwinStacy William14 Bradford & Co14 Bradford Benjamin15 Stevens & Perrin19 Austin J23 Salisbury William26 Wicking David26 Furrse E
Aha!No worries,I think I have just found it on an 1868 map.It is here on the map just off Curtain Road, north of "Chartered Gas Works" and near to St James's Church:https://london1868.com/weller32b.htmThanks.
The name changed from Cumberland Street to Hearn Street between OS surveys of 1873 and 1894.See the north-east corner of these five-foot plans (1:1056 scale)https://maps.nls.uk/view/229950161https://maps.nls.uk/view/101201565