After winning the toss, Offley slumped to 59-9, before a 10th wicket stand of 57 between skipper Mathew Freeman (33) and Ryan Chamberlain (15) saw them recover to 116 all out.
James Gauge took 3-40 for Biggleswade, while Thomas Boyd picked up 3-29.
Fine bowling from Offley kept things tight as Chamberlain claimed 3-15, but Biggleswade reached 117-6 to triumph thanks mainly to Kevin Wright (28), Bruce Ditcham (20 not out) and George Bascom (19).
Photographer Tracey Goodacre was on hand to capture the best of the action and to view a gallery, see the link above.
Meanwhile, for a full report from the Saracens Herts League, Beds County League, Beds Invitation League, North Herts League and Morrants Four Counties League, plus a round up of results and tables, pick up a copy of the News/Gazette on sale tomorrow.