Thurston himself was put on report for a high shot on winger Akuila Uate who appeared to slip and fall into the tackle.
The former test flyer was taken from the field for medical assessment but returned to score a second-half try.
Ethan Lowe had earlier wrestled his way through to find the line, Matthew Scott cleaned up the crumbs of a Kurt Gidley bomb and Thurston slotted a penalty goal to push the Cowboys 14-0 ahead.
But the Knights unveiled a trick shot in the shadow of halftime.
Behind his own 30m line, five-eighth Jarrod Mullen punched the ball downfield for a flying Uate who was only denied by a try-saving tackle from Morgan.
But as the Cowboys defence struggled to get back on side Leilua crossed in the left corner to make it 4-4.
Uate returned to the field to cross in the 62nd minute.
Then Leilua strolled through a yawning hole in the Cowboys defensive line to level the scores in the 73rd minute.
Tyrone Roberts kicked the match-winning conversion and Cowboys winger Kyle Feldt's penalty attempt, from 57 metres out on fulltime, sailed just wide.
- AAP