[1][3] The locality was named after the former Anmatjere Community Government Council, whose seat was located in the town of Ti-Tree.

[9][1] Anmatjere is located within the federal division of Lingiari, the territory electoral division of Stuart and the local government areas of the Barkly Shire and the Central Desert Region.

The Ediacaran-aged fossil known as Skinnera is named for its discovery at from three sites near Mount Skinner.

[19] The property was established in 1952 by John "Jock" Nelson, a Labor MP who served in the Australian House of Representatives for 17 years.

[20] As of 2020[update], anthropologists' work is continuing on both Woodgreen and Mount Skinner pastoral leases as the basis for any future native title claims, under the auspices of the Central Land Council.