Unlucky; fated to be unfortunate. Othello says of Desdemona, “O ill-starred wench!” Of course, the allusion is to the astrological dogma that the stars influence the fortunes of mankind.
“Where'er that ill-starred home may lie.”
Source: Dictionary of Phrase and Fable, E. Cobham Brewer, 1894
More on Ill-starred from Infoplease: