Charlton went nine points clear at the top of League 1 thanks to a second half Danny Green goal against Exeter while Huddersfield drew at Tranmere.
Grecians goalkeeper and local lad Artur Krysiak flapped at Green's miscued cross, which found its way into the net to the delight of the 878 Addicks who made the trip to the west country. There were hints of an own goal.
After 11 minutes Matt Taylor marked his return to St. James's Park by performing an acrobatic overhead kick that was cleared off the line by Richard Duffy. Later in the first half Wiggins put in a low drive which Krysiak saved by diving to his right while Morrison provided great defensive work with a header just before the break.
The Addicks could have killed the game off but Yann Kermorgant headed Bradley Wright-Phillips's cross wide.
Substitute Guillem Bauza almost rescued a point for the Grecians but his shot was saved by Ben Hamer as Charlton recorded another clean sheet.
Exeter manager Paul Tisdale complained that Charlton won from a 'fluke' goal at a time when he was trying to make substitutions.
Michael Smith made a great start to his loan spell at Accrington scoring a hat trick in the first half in their 4-3 win over the Gills.