They were established by Charles Glover, a Lord Mayor of Adelaide and a philanthropist.
Despite maps to the contrary he had no relationship with the West Terrace playground.
The playground in Park 20 on South Terrace near Pulteney Street was established in 1918.
Its coordinates are 34°56′09″S 138°36′17″E / 34.935762°S 138.604707°E / -34.935762; 138.604707 (Glover Playground, South Terrace) The playground in Park 6 on LeFevre Terrace opposite the corner with Tynte Street was established in 1920 with a donation of £500 from Glover.
The library was set up by a trio of volunteers (Julia Blanka, Valdis Dunis and Viviana Waller) with support from the Adelaide City Council, and is affiliated with the Little Free Library organization.