Instead, her sister, novelist Santa Montefiore, and businessman brother James Palmer Tomkinson, will share her £2.3 million (US$3 million, A$4 million) estate.
In an April 2016, the then-44-year-old said that she regretted her party-girl past, and the worry it had caused her family.
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“I thought I’d be married and have two children by now,” she reportedly said. “I imagined I’d be living in the country.”
Palmer-Tomkinson, who fought a well-known battle with cocaine addiction for many years, was 45 when her body was discovered by a cleaner in her London apartment. It was later revealed that she died of natural causes.