The Coast Guard rescued three people off the Bay State on Wednesday after their 30-foot vessel caught fire.

The pleasure craft “Third Wave” departed from Eel Pond in Falmouth on Friday with the family’s mother, father and son onboard.

They intended to remain anchored between Cape Cod and Martha’s Vineyard throughout the weekend before returning Tuesday afternoon.

But after waking up to a boat fire Monday night, the family abandoned ship and swam to the nearby Naushon Island, where they found a barn for shelter.

Then while walking along the beach, the family’s son found the vessel’s marine radio, which had washed ashore.

The Coast Guard received a “Mayday” call from them on Wednesday morning via marine radio.

Volunteers from Naushon Trust administered first aid to the survivors, and a

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