After Alice the next fancied moniker among punters is the Queen's name Elizabeth at odds of 9-2 followed by Charlotte 11-2, Victoria 12-1, Alexandra 14-1, Diana 16- 1, and the boys names Arthur, Henry and James all at 20-1.
Since the mid 19th century a number of royal women have been called Alice, with Queen Victoria calling her second daughter Princess Alice and the wife of the late Duke of Gloucester - the Queen's uncle - also had the same name.
Paddy Power have also made Alice their favourite, jointly with Charlotte, at odds of 9-2 followed by Elizabeth 5-1, Victoria 10-1, James, Arthur and Alexandra all at 12-1 and Philip 14-1.
Kate held her last public engagements on Friday and will not be seen again officially until she leaves the Lindo Wing, the private maternity wing of London's St Mary's Hospital, with her second child, which is due at the end of April.
Watch: The Duchess of Cambridge visits the Brookhill Children's Centre
Odds on the gender of the baby are evens for a boy and 8-11 for a girl.
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- PAA