LONDON— Mohamed Al Fayed was a rags-to-riches story, having gone from selling lemonade in his native Egypt to the top of British society as the owner of the fabled Harrods department store and the Fulham soccer club, and a friend to royalty. He was also, according to claims made after his death, one of the most notorious sex offenders in modern business history. Hundreds of women are trying to get compensation, which has set off a fight between the current owners of Harrods and the late tycoon’s family estate over who should foot the bill. Many of the women are…