Marriott Index's Available
Applecross, Ross and Cromarty, Scotland Census
As part of my research into other names I have checked the 1861 and 1871 Census's for the town of Applecross in Ross and Cromarty, Scotland, but there were no MARRIOTT's in the town for either census.
Irish Birth Index
As part of my research into other names I have the Irish Birth Index between 1888 and 1889, but the name of MARRIOTT does not appear during this period.