Green’s Dictionary of Slang

1. a labourer, a hod-carrier, esp. when Irish.

1865		T. Archer Pauper, Thief and Convict 94: Irish Mike carries a hod, while his wife sits behind a fruit-stall [...] and between them they make a better income than many a decent mechanic.
1873		Sl. Dict.

2. (Aus.) a cup of tea.

1949

R. Park Poor Man’s Orange 101: ‘’Ere’s yer mike,’ said his host, shoving over a pannikin of stewed and boiling tea.