Here is a bit more information on each one hopefully to find them in the US Census.

WATTERSON Wm 1863 M 1903 Liverpool USA New York - (Baker)

Person:Wm WATTERSON (Baker) age 40
Departure date:12 April 1903
Port of departure:Liverpool
Destination port:New York
Destination country:USA
Ship:TEUTONIC

WATTERSON William 1862 M 1930 Liverpool USA New York - (Revd.)

Person:William WATTERSON 68 (Revd.) - wife, Alice 63.
Last Address – 11 Patrick Street, Peel, IOM.
Departure date:1 August 1930
Port of departure:Liverpool
Destination port:New York
Destination country:USA
Ship:SAMARIA

WATTERSON Wm Wallan Unknown M 1910 Liverpool USA New York - (Wm Wallace?)

Person:Wm Wallan WATTERSON – Wife and 2 Children.
Departure date:3 June 1910
Port of departure:Liverpool
Destination port:New York
Destination country:USA
Ship:CAMPANIA

WATTERSON Wm Unknown M 1904 Liverpool USA New York - (Mechanic)

Person:Mr Wm WATTERSON (Mechanic) Mrs & Miss - Wife and Daughter.
Departure date:24 September 1904
Port of departure:Liverpool
Destination port:New York
Destination country:USA
Ship:CAMPANIA

Averil