The case of just where Anne Bonny disappeared to has been a matter of debate among historians for some time. Evidence suggests that her father, who was a wealthy lawyer, purchased her freedom from the then Governor of Jamaica and married her off but there is no firm, hard evidence to say that yes, this is absolutely what happened. There are some records that imply that she married a Joseph Burleigh (the spelling of the name can vary) around 1721. It is guessed that this marriage was arranged by Anne's father to get her a new life with a clean slate. Anne reportedly gave birth to eight more children with her husband, three of whom died young. This Anne is said to have died on April 25, 1782 and was buried in a place called Sweethaven, likely in York County, Virginia.

The actual evidence cannot be used to confirm or deny anything. No one knows.

Like so many things, such as who Jack the Ripper was and what Cleopatra really looked like, are likely some of the great unknowns that we will never really have answers to.

Sources:

[Britannica: Anne Bonny] (http://www.britannica.com/biography/Anne-Bonny)

[Seafaring Women: Adventures of Pirate Queens, Female Stowaways, and Sailors by David Cordingly] (https://books.google.com/books?id=xFtfx96d84UC&pg=PA86&lpg=PA86&dq=anne+bonny+james+burleigh&source=bl&ots=rCGQo5Mw1o&sig=ZpqFkrKa-yUZDvkedPWSdVU1Cko&hl=en&sa=X&ved=0ahUKEwijh9eD8Z3LAhWKsIMKHTlABBs4ChDoAQgnMAI#v=onepage&q=anne%20bonny%20james%20burleigh&f=false)

Women of the Sea By Edward Rowe Snow, Jeremy D'Entremont

World Public Library: Anne Bonny

Follow up question: how accurate is her character portrayed in Black Sails (great show)

The case is not that persuasive at all. As far as the verifiable historical record is concerned, we have no clue what happened to Anne after her trial, only that we have no record of execution or a birth. I answer in more detail in a response someone else on here already gave: https://www.reddit.com/r/AskHistorians/comments/48ae0l/the_infamous_female_pirate_ann_bonny_disappeared/d0im14o

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