I've just been to get that colour cartridge, and as Ditchburn Place is exactly opposite, I managed to bore the man there with a brief history of the place. (The shop is called "Smart Cartridge", but when I was directed to it for the first time, I was told it was called "Intelligent Ink" - some kind of twisted word-association).
Anyway, as plain as day is the date of 1838 on the outside, and the number 81a on a black sidegate. The pub next door used to be called "The Durham Ox" until recently changed to "Chariots of Fire", before its ironic blaze.
More importantly, Suey, if you Google "Cambridge Workhouses", the top choice is "Poor Law Unions in England", and if you click on Cambs - Cambridge, you get an excellent page on it. Apparently the site had separate boys and girls school, male and female infirmaries, and there's a good plan of it. Near the bottom of the page is a reference to the Cambridge County Record Office which has several holdings on Ditchburn Place, including, I notice, deaths for 1877-1938.
Maybe the person you are researching died in the infirmary.
And yes, Andrew, you like many hundreds, possibly thousands of Cambridge people were born here when it was the Mill Rd. Maternity Hospital - it had a wonderful reputation.
Keith