Chanderpaul's resistance was finally broken when Cork, who had previously accounted for Lancashire captain Glen Chapple, had him caught by debutant wicketkeeper MichaelBates.
Chilton edged David Balcombe to wicketkeeper MichaelBates to give Hampshire their first success, while Shivnarine Chanderpaul and Steven Croft both edged Briggs to slip after making starts.