Little has been found on Annet in the way of human remains apart from a prehistoric hut circle, a fragmentary field system and several limpet middens. Bones of cattle and sheep were found indicating that they were eaten here and probably grazed the island. It is proposed to designate the whole of Annet as a Scheduled Ancient Monument. The name of the island is first recorded in 1302 as "Anet". Also recorded as "Anete" in 1305, "Anet" in 1339, "Agnet" in 1570 and "Agnet iland" alias "Annett" in 1650.