Max Ferdinando scored the only first half goal for the `Leafe and Jerson Dos Santos made it 2-0 just after the hour-mark. Jack Howlett pulled a goal back in the 70th minute but time ran out for Corrie and it ended 2-1.
Rochester United leap-frog Whyteleafe into third place after their 3-0 win at home to Holmesdale.
Josh West scored 4 minutes from half time and James Alderman hit the net 2 minutes after the restart. West then braced-up on 55 minutes.
Greenwich Borough won 1-0 at home to Sevenoaks Town. Matieu Ramsamy scored the only goal in the 20th minute. Both teams stay as they were in fourteenth and seventeenth place respectively.
In the Kent Senior Trophy second round on Saturday, Bridon Ropes lost 2-3 to League leaders Erith Town after extra-time.
However, they did come back after the Dockers raced into a 2-0 half-time lead, thanks to goals from Marcus Perona from the spot and Harry Stanhope.
Nick Dunsdon kept Bridon in touch with a penalty conversion 5 minutes into the second half then doubled 20 minutes later to force extra time. Perona scored the winner in the 117th minute to book a quarter final place away to Deal Town
Seven Acre & Sidcup also lost in extra-time after the 90 minute score was 1-1 at Deal Town.
Charlie Walsh opened for Deal just before the 20 minute mark but Alfie Harris levelled 10 minutes before the break.
The second half had no more goal action and it was in the last minute of extra-time that Deal skipper Ian Wallace scored the winner.
Beckenham town lost 1-3 at home to Woodstock Sports. Becks went ahead through a 30th minute Louis Sproson penalty and then held on until the last 10 minutes.
Ashley Baverstock started the Woodstock resurgence in the 80th minute then James McDonald put them in front 2 minutes later. Russell Jeffrey made certain with the third Woodstock goal 3 minutes from time. Woodstock Sports will play the winner of the Woodstock Park/Lordswood tie.
Cray Valley needed extra time to beat Canterbury City 1-0 at home. Paul Gross scored the significant goal midway through the second period of extra-time. Cray will meet the winner of the Ashford United/Tunbridge Wells tie.
VCD Athletic lost 3-0 at home to Fisher FC. After a goalless first half Bryan Zepo scored just after the hour-mark then doubled on 76 minutes. Badar Mohammed gave VCD no return route with the clincher 5 minutes from time.