With the rebuilding program continuing apace, Callington were unlucky not to leave the Tamar Valley ground with at least a share of the points on Saturday.
Twice Callington had the advantage but on each occasion the home side came back and eventually won the game with the final goal in the 88th minute.
Gary Smith broke the deadlock on 18 minutes after heading home from a Geoff Battams cross. Neil Willmott equalised almost directly afterwards only for Gary Williams to head the visitors into a half time lead that could and should have been more than the 2-1 scoreline.
John Trim equalised for the home side on the hour and then Paul Ginter headed the home side into the lead. Back came Callington with Andy Treble firing home from the penalty spot after Chris Gerry had been upended but the last word went to Parkway when Andy Roberts fired home the winner late on to secure the points.