No, Edward VIII (1894 - 1972) did not have any children. After abdicating in December 1936, he married Wallis Warfield Simpson, an American divorcee in 1937. He was given the title the Duke of Windsor.
None of Henry VIII's acknowledged children had children of their own. His children being, Mary I, Elizabeth I and Edward VI. His only acknowledged illegitimate child, Henry Fitzroy, Duke of...