What is recorded here
No. The claim is not invented because it is wanted. The claim is not true because it sounds like a known story.
Scotland's National Record of the Historic Environment records Castle Hill as Natural Feature (period Unknown). The official map says its point is accurate as follows: NGR given to the nearest 10m. The record does not by itself mean that the public may enter the place.
The historic-place record does not grant public access. Check current conditions and ownership before entering land or a building.
Places near here
Snab HillField System (period Unassigned), Sheepfold (period Unassigned), Structure (period Unassigned) · 1556 yd
BurnheadQuarry (19th Century), Track (19th Century) · 1.2 mi
ClenrieMarker Cairn (modern), Sheepfold (19th Century) - (20th Century) · 1.3 mi
Stranfasket HillClearance Cairn(s) (period Unassigned) · 1.5 mi
Robert McLellan Watson memorial stoneMemorial · 1.5 mi
BenbrackMountain / peak · 2.2 mi
Meikle MillyeaMountain / peak · 2.4 mi
Memorial to Ralph ForlowMemorial · 2.6 mi
Barskeoch MainsTower House (medieval)(possible) · 3.3 mi
Earlstoun CastleCastle (medieval) · 3.5 mi
Craiggubble WoodWood · 3.8 mi
Carsons StoneNamed rock · 4.1 mi