Singer Annie Lennox was a strict mother who banned her children from eating sugary snacks while they were growing up. Low sugar recipes The former Eurythmics star has two daughters, Lola and Tali, from her second marriage to record producer Uri Fruchtmann. They say she was not a lax showbiz parent. Tali Lennox, who is now a model, says her mother issued a lollies ban in their house and demanded impeccable manners at all times. "She told me that it was important to treat people well, no matter who they are or what they do," she says. "My sister Lola and I had to have good manners. "We grew up knowing certain standards of behaviour were expected. But mum was quite strict about things like junk food. She'd throw away our party bags and Halloween sweets because she didn't want us consuming too much sugar." .