Morton made sure they will not finish in the Scottish First Division relegation play-off spot after holding Livingston to a draw.
Livi's Marc McNulty came close to giving the hosts an early lead but was denied by goalkeeper Alan Combe.
At the other end keeper Andrew McNeil blocked an effort by Peter McDonald.
Combe made further saves as McNulty and Weatherson threatened and Kyle Jacobs also had an effort saved by the Morton stopper as the scoresheet remained blank.
Livingston: McNeil, McCann, Watson, Craig Barr, Fordyce, Robert Barr, Kyle Jacobs, Scougall, Keaghan Jacobs (Sinclair 50), McNulty, Boulding. Subs Not Used: Murphy, Cummings, McDonald, Beaumont.
Booked: Fordyce, Boulding.
Morton: Combe, Evans, Weatherson, Graham, O'Ware, Bachirou, Smyth, Derek Young, O'Brien (Tidser 51), MacDonald, Campbell (Di Giacomo 69). Subs Not Used: McGinley, Hawke, Kasubandi.
Booked: Graham, Tidser.
Ref: Des Roache.