A family of three was rescued by the U.S. Coast Guard Wednesday after their boat caught fire and they were left stranded on the small island of Naushon off the Vineyard’s north shore.

The Coast Guard received a mayday call on Wednesday morning, more than a day after the fire started on the 30-foot pleasure craft. In a statement Wednesday, the Coast Guard said the family swam onto the shore of Naushon, one of the privately owned islands in the town of Gosnold. 

A concerned family member reported the boat overdue Tuesday evening after the family did not return. That spurred a search for the family by the Coast Guard, Falmouth police, the town’s harbor master and members of the trust that owns Naushon.

The parents and their son aboard the boat had taken shelter in a barn on Naushon after the fire broke out on Monday. A Coast Guard official said the cause was unknown on Wednesday.

One of the family members suffered serious injuries and the other two had minor injuries. They were flown by the Coast Guard to Cape Cod Hospital for treatment. Volunteers from Naushon Trust administered first aid to the survivors on the island.

The family was not able to call for help sooner due to the lack of service in the area, and were only able to reach out when the son found a marine radio that had washed ashore from the boat while he was walking the beach, according to the Coast Guard.

The family had taken the boat out of Eel Pond in Woods Hole on Friday for the trip and had intended to anchor off the Vineyard coast throughout the weekend before returning Tuesday afternoon. 

The Coast Guard urged people to make sure they have proper emergency equipment and training when out on the water.

“Quick thinking and having quality equipment allowed the family to survive and call for help,” Scott Backholm, a search and rescue mission coordinator from Coast Guard Sector Southeastern New England, said in a statement. “Mariners are encouraged to pursue first aid training and ensure their vessels are outfitted with proper safety equipment.”