Gypsy, is this the case you were referring to:

Princess Mishaal bint Fahd al Saud, the 19-year-old great-niece of the late King Khalid, was shot several times in the head in 1977. Her death is thought to have been ordered by her grandfather, Muhammad bin Abdul Aziz al Saud, the King's older brother. She was unmarried but had confessed that she had committed adultery.

http://www.independent.co.uk/news/world/middle-east/fate-of-another-roya...

And in other news:

Ten Saudis seek asylum after princess is allowed to stay

Ministers are considering asylum applications for 10 Saudi Arabian nationals who claim they are at risk of persecution if they are forced to return to the Middle Eastern kingdom, it emerged last night.

http://www.independent.co.uk/news/uk/home-news/ten-saudis-seek-asylum-af...

And if family members kill girls for using Facebook, then perhaps she's better not taking the chance of returning:

Saudi woman killed for chatting on Facebook

A young Saudi Arabian woman was murdered by her father for chatting on the social network site Facebook, it has emerged.

The unnamed woman from Riyadh was beaten and shot after she was discovered in the middle of an online conversation with a man, the al-Arabiya website reported.

http://www.telegraph.co.uk/news/worldnews/1583420/Saudi-woman-killed-for...