Kate Winslet wants to name her baby after Sir Richard Branson's mother Eve.

The 37-year-old actress and husband Ned Rocknroll - who is the nephew of British businessman Branson - announced this week they were expecting their first child together and have already been picking out baby names that have a personal connection to them.

Kate rescued Branson's mother Eve from a fire at the Virgin mogul's Necker Island home in 2011 and the couple - who met on the same vacation two years ago - believe naming their baby, if they have a girl, after her will create a tie between them and Ned's family.

A source told The Sun Newspaper: ''Eve is one of the names Ned and Kate have thought of. They want it to mean something and it would be a great reminder of how they met - and can keep a strong connection with Ned's family.''

The 'Contagion' star - who has a 12-year-old daughter, Mia, from her first marriage to Jim Threapleton, and a nine-year-old son, Joe, from her second marriage to director Sam Mendes - is due to give birth at the end of the year but is eager to find a new home before the arrival.

A source said: ''They want a bigger house for when the baby arrives.''