Grocieries: There are no grocery stores on Cooper Island.  Guests will need to buy provisions for their entire stay in Road Town on Tortola prior to their arrival on Cooper Island.  There are several (yacht) provisioning services in Road Town or guests can provision themselves at one of the groceries on Tortola.  Some direct provisioning links are:  
                                                                 Rite Way
                                                                 Bobby's Marketplace
                                                                 Ample Hamper

The "Deliverance" supply boat also stops daily at Cooper Island around 2PM and can provide basics such as bread, pastries, fruit, ice, and water (cash only and not cheap). Call on VHF Channel 16, switch channels as directed and ask them to come to the Quart-A-Nancy Point jetty (or the house at the north end of the bay).