Believe you are thinking of the former "Isolation Hospital" located circa 250 Belmont Street (near Bell Pond).
http://books.google.com/books?id=NyPVeB__SwQC 1898 the worc of
page237
The Isolation Hospital. Belmont street, near Adams street (346 Shrewsbury to 260 Belmont St).
This hospital was opened by the city in November, 1896, and is under the control of the city Board of Health, and is designed for the treatment of cases of diphtheria and scarlet fever only.
Nurses are furnished by the City Hospital, and patients, if unable to pay, are admitted for free treatment.
http://books.google.com/books?id=qM0EAAAAYAAJ&output=html Boston Medical and Surgical Journal
By Massachusetts Medical Society, New England Surgical Society
Published by , 1916
Item notes: v.175:1 (1916)
page 231
A YEAR'S WORK OF A LOCAL TUBERCULOSIS HOSPITAL. BY ALBERT C. GETCHELL, M.I)., WORCESTEB, MASS. THE Worcester Tuberculosis Hospital is an addition to a hospital plant the City of Worcester has maintained for several years for the treatment of diphtheria and scarlet fever under the care of the Board of Health. Before this addition was made, it was called The Isolation Hospital. It is now the Belmont Hospital. The name indicates its situation, on a fine hill. Belmont Street is the name of the street on which it is located and "Belmont Street" is the sign on the street car that goes directly to the hospital. The Tuberculosis Building is named the Putnam Ward, in honor of Mr. Henry Putnam, who gave to the city the land on which the building stands. The building is a substantial brick structure, two stories in height, facing the south. It consists of a central building, in which is the administrative office, an assembly hall, and nurses' living rooms. A wing extends from this building to the west, which is the hospital. The complete plan calls for another wing, extending to the east. Each floor of the medical building has one four-bed room, two two-bed rooms, four one- bed rooms, a sun room with abundant window space, oie open ward for sixteen beds, service rooms, and out-of-door porches.