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McBurney Park, better known as Skeleton Park, started in 1816 as the Garrison Burying Ground (another source says 1813), then in 1819 it was known as the Common Burying Ground, so named because it was common to the Anglican and Roman Catholic churches. In 1825, it was officially established as the Upper Burial Grounds which included three parts – one each for the Anglicans, the Roman Catholics and the Presbyterians.

The cemetery was Kingston's primary burial ground until about 1850 (other sources say 1853), when Cataraqui Cemetery was established. It was used as a burial ground for the Catholic, Anglican and Presbyterian Churches until 1864, when it was closed after reaching capacity. In March 1865, a bylaw passed by City Council came into effect, preventing any further burials taking place.

After the closure, there was no maintenance on the site and the area fell into disrepair and was repeatedly vandalized, as well as there being rumors of grave-robbing. In the late 1880s, a growing residential area surrounding the old cemetery pressured the city to take action. The Catholic, Presbyterian, and Anglican churches proposed that the bodies be exhumed and re-interred in St. Mary's and Cataraqui Cemeteries, and the area be converted to a city park. While some bodies were in fact re-interred elsewhere, for various reasons it was decided not to try to move all of them. Out of an estimated 10,000 burials, (4,000 Catholics, 4,000 Anglicans, and 2,000 Presbyterians) less than 1,000 bodies were removed.

On May 27, 1893 the land was officially granted to the city by an act of the Province of Ontario. On February 6, 1894, Kingston's Upper Cemetery was officially named Frontenac Park. In 1965, the Committee on Parks and Property recommended that the park be renamed McBurney Park.

In 2002, a seven foot high granite Celtic Cross Monument was erected and dedicated to the memory of all those buried in Kingston's Upper Cemetery.

In 2004, archaeological investigations located the former cemetery boundaries as being larger than the current Park boundary and, consequently, identified a number of burials under Alma Street. In 2007, Alma Street was converted into a one-lane road to accommodate the remains beneath it.

Additional names for this cemetery may include: Kingston's Upper Cemetery, Upper Burial Cemetery, Upper Grave Yard, Old Burial Ground, Soldier's Cemetery, and Redden Park.