Variously called the County Farm Cemetery, County House Cemetery, House of Industry Cemetery, or Almshouse Cemetery.

The interments entered on Findagrave are far from complete. What ones are there come from newspapers and the City of Troy Burial Records, neither of which have been searched comprehensively.

"The first alms-house of Rensselaer county was erected in 1821 on the county farm, on the south-east side of the city, south of Spring Avenue. The institution was then called the House of Industry. The farm, now a part of the sixth ward of the city, has an area of one hundred and sixty acres. The brick buildings were erected in 1882. They include the keeper's house, two apartment-buildings, two hospitals, a dining-hall, a kitchen, and a laundry."
Weise, Arthur James. Troy's One Hundred Years, 1789-1889. Troy, NY: William H. Young, 1891. 243.

"Mr. Carroll, from special committee, on complaint of Messrs. Smart, respecting exposure of a corpse, and the manner of burial at the County House, reported in part, and a continuation of the examination was authorized" (emphasis added).
"Board of Supervisors." Troy Daily Times. December 16, 1859: 3 col 3.

"Thursday, Dec. 22.—Mr. Crary offered a resolution requiring a head board on the graves at the County House burying ground. Laid over. Mr. Carroll, from special committee, to whom was referred the memorial of Messrs. Sweet, complaining of the exposure of a corpse in the burying ground at the County House, and the improper mode of interments therein, reported the testimony of L. P. Maxon, Keeper, and of Francis Gutings and Michael Johnson on the one hand, and that of Messrs. Andrew J., J. W., and Robert T. Sweet, S. Earing, Joseph Kilmer, on the other. The committee also made repeated personal examinations. They conclude with the recommendation of the following resolution:
"Resolved, That, in the judgment of the Board of Supervisors, the interments in the County House burying ground should be made to the full depth of five feet, in all cases under the supervision of the Keeper or other responsible officer, and no further West than the present line of burials. Also that the burial ground should be enclosed by a plain close fence. Also that the name of every person buried shall be entered upon a board and placed at the head of the grave. Adjourned to 9 o'clock to-morrow morning" (emphasis added).
"Board of Supervisors." Troy Daily Times. December 22, 1859: 3 col 4.

"Mr. Carroll moved the resolution reported yesterday respecting interments at the County House, which after slight amendment was adopted. Adjourned to Tuesday at 2. P. M" (emphasis added).
"Board of Supervisors." Troy Daily Whig. December 24, 1859: 3 col 3.

"Leasing the County Farm and Stone Quarry on the Same.
"THE COMMITTEE APPOINTED by the Board of Supervisors of the County of Rensselaer for the purpose of leasing for the term of three years the County Farm and the Stone Quarry on the same, to the highest responsible bidder, do hereby give public notice that they will receive sealed proposals for the lease of said County Farm and the Stone Quarry connected therewith, together or separately, for the period of three years from the first day of March next. In the lease of said farm there will be reserved out of same the Poor House and ground and all the outbuildings, except the barn on south side of the highway leading to the Stone Quarry, and the open shed on the east end of the Poor House ground; also reserving the burying ground and the land between that and the Pond; and also reserving the garden in front of the Poor House, and also the lot adjoining the garden, on the south side of the highway leading from the city to the Poor House, and containing ten acres of lands be the same more or less.
"Such proposals to be opened at the Supervisors' Room on the 13th day of February, 1869, at 12 o'clock at noon. Bids may be delivered to either of the undersigned: JOEL B. PECK,
"ELISHA S. BAUCUS,
"MICHAEL J. GRADY, JR.
"MARTIN P. DEFREEST,
"ABRAM BULSON,
"Special Committee.
"Dated February 1, 1869" (bold emphasis added).
Troy Daily Whig. February 8, 1869

"Edward Ryan, of 13 Spring street, lost an open-faced gold watch yesterday in the county-house burial grounds" (bold emphasis added).
"Troy." Daily Albany Argus. July 27, 1876: 4.

"An occupant of the County Almshouse for thirty-four years, of whom nothing is known except what he gave when he was admitted February 14, 1884, died there yesterday and will be buried in the almshouse cemetery. He gave his name at that time as Willie Sherman, said he was born in Troy, was twenty-four years old and a voter in the thirteenth ward. He gave his occupation as baker and said his father, Patrick, was a peddler" (bold emphasis added).
"Thirty-four Years in Almshouse." Troy Daily Times. November 4, 1918: 8 col 3.

From the Report of General Inspection of the Rensselaer County Almshouse by the NYS Board of Charities:
"CARE OF THE DEAD.
"A morgue is provided. Relatives are notified and religious services held at burials here. Graves are marked with wooden crosses, bearing name and date. Places of burial are on record.”
Journal of Proceedings of the Board of Supervisors of the County of Rensselaer for the Year Ending December 31, 1919. Troy, NY: Troy Observer Publishing Co. 80.

"A human skull was found yesterday by youngsters playing near Griswold Heights.
"Investigation by police revealed that the skeleton had probably been unearthed from the old burial ground once located near the south side of Griswold Heights and east of the rear entrance to St. Joseph's Cemetery. A resident of Griswold Heights notified police of the discovery and Patrolmen Thomas O'Brien and Paul Spenard of the radio patrol went to the scene."
"The skull was later turned over to Coroner Anthony E. Matera."
"Children Find Skull At Griswold Heights." Times Record [Troy, NY]. September 23, 1954: 7 col 2.