This cross is within Kinard Graveyard. The graveyard (situated beside the birthplace of Tomás Ashe), may have been the site of a medieval parish church, but nothing survives of it today. There are two ogham stones in the graveyard, the more well-known one bearing an interesting cross motive and the name 'Mariani'. This indicates that the site was extant in the early medieval period.
Further details in Cuppage, J. et al., 1986 Archaeological Survey of the Dingle Peninsula, Oidhreacht Chorca Dhuibhne, Ballyferriter, p. 328.