first of all the 'Onchan' parish in Census may fool readers - this is the old British Hotel on Douglas North Quay !
my list of landlords is:
1875 - Hodgson, Tom (Glover's Guide 1875) see also Fort Anne
1881 - Clarke, James (proprietor) (Brown's directory 1881)
1889 - Brown, Mary (Porters Directory 1889)
(seehttp://www.ee.surrey.ac.uk/Contrib/manx/gazateer/inns/do_ae.htm)
in 1887 a Mr Clarke can be found at the Douglas Hotel just along the quay