They bowled Fawley out for 168 and chased down the target to win with 16 overs to spare.
“All 11 of our team were raised through the colts- some achievement,” boasted skipper Tom Hockenhull, who spearheaded the run chase with an unbeaten 80.
Fawley slipped from 65-1 (Andy Parratt 44) to 80-5 and later 125-8 with Ross Stewart, Freddie Eley, Rhys Oxley and Andy Sturman each taking two wickets.
Fawley at least gave their bowlers a modest total to defend when Wayne Smith (21) and Adam Freeman added 31 for the last wicket.
New Zealander Matt Brown whipped out Fair Oak opener Charlie Kemp, but younger brother Ed Kemp, with a careful 43, and Hockenhull soon put Fawley back on the defensive with a near century stand.
Hockenhull went on to hit 14 boundaries in his 80 not out and shared an unbroken partnership with Sturman (23) as Oaks cruised home.
Hursley Park suffered a second consecutive defeat when 2016 Hampshire League champions Alton II came to The Quarters and beat them by four wickets.
Alton’s accurate seam attack had Hursley Park reeling at 49-6 (Michael Salmon 3-14) – four batsmen being clean bowled.
Youngsters Tom Flynn (73 not out) and debutant Luke Deacon (33) fought back with a brave seventh-wicket rally, but Hursley’s 175 all out was unlikely to be competitive.
Swing bowler Tom Burns (3-33) made several top order inroads, but was unable to remove Andrew Postles (75), whose stand with Hugo Hammond (47) pointed Alton to victory.
Bashley (Rydal) II, Basingstoke & North Hants II and Waterlooville toasted a second consecutive win.
Bashley trimmed Havant II (140-7) by three wickets on a wet Havant Park surface, while Basingstoke skittled run-shy Gosport Borough for 76 before winning by five wickets at Privett Park.
Chris Chandler’s 6-15 did the damage for Basingstoke, who were 10-3 themselves before teenage left-hander Martin Deadman struck a key 49.
Newly promoted Purbrook’s dismal start continued when they were shot out for 91 – 35 of them were extras – and beaten by 128 runs by near neighbours Waterlooville.
Tasmanian James Hortle (59) top scored in Ville’s 219-6, while young off-spinner Archie Reynolds took 4-27 after tea.