The local aboriginal people call the headland Konowee or Kouowee. The name Ram Head was given by Captain Cook when he passed it on 19 February 1770, named after Rame Head in Plymouth Sound, which its shape resembled.
Cook wrote the name without an "e" and that spelling was adopted by Bass and Flinders and became official. At some point, perhaps quite early, the Royal Navy (and later Australian Navy) used the spelling Rame, while Ram continued in civilian use. In 1971 the Victorian Government gazetted it as "Rame" to match its Cornish namesake.
Locals pronounce the name like "Sam", whereas the headland in Cornwall is pronounced like "same". The former no doubt reflects the initial spelling, and perhaps an idea it referred to a ram — as in a male sheep — although that is the case neither there nor in Cornwall.
There is a walking track to the "summit" of the head. However, this point lacks a clear vantage point over surrounding scrub, and is simply marked by a trig point.