She lost company with the squadron on 24 April 1741,[3] but rejoined it at the Juan Fernández Islands on 16 August 1741 (Julian calendar) after sheltering for two months in a natural harbour on the South Chilean coast.

A subsequent survey found her timbers were too badly damaged for a re-fit, therefore her stores and crew were distributed about the squadron and she was scuttled on 18 August 1741 in Cumberland Bay, Juan Fernández.

By 13 April, she had regained visual contact with the squadron, and that night lookouts on Anna spotted land to the north, which was the western extremity of Isla Noir, off Tierra del Fuego.

Except for one indigenous family, the area was uninhabited; however the Master didn't fire the evening gun in case there were Spanish settlers nearby which would be alerted to the presence of British ships in the Pacific.

[9] The story of Anna made a lasting impression on the First Lord of the Admiralty, John Montagu, 4th Earl of Sandwich as in 1772 when the Admiralty was organising Cook's second voyage, Joseph Banks was dismayed at the small size of the vessel proposed by Cook, Resolution; however, the First Lord commented, "The Anna, a collier like Resolution, did get round [Cape Horn] and made her way thro these stormy seas, which were so difficult to resist'."