The royal baby’s name wasn’t announced on Sunday, but some are speculating it may be Alice or Charlotte. Many are likely hoping she will be named after her late grandmother, Princess Diana.

The Chicago Tribune reports there’s no set timetable for selecting the royal baby’s name.

Prince William and Kate Middleton–the Duchess of Cambridge–welcomed their baby girl into the world on Saturday, weighing in at eight pounds, three ounces. Speculation as to what they’d name a princess has run the gamut for weeks.

Here are some thoughts on a few of the ideas for the royal baby’s name.

If the princess is named Charlotte, it could be a nod to Prince Charles. French in origin, George IV named his only child Charlotte, but she died in childbirth at the age of 21. George III’s wife was Queen Charlotte.

If Will and Kate decide on Alice as the royal baby’s name, it would honor the great-grandmother of Queen Elizabeth’s husband, Philip.

Kensington Palace after royal birth: "Her Royal Highness and her child are both doing well." http://t.co/aZ5SujVTef pic.twitter.com/fT32A8uiM7

— CNN Breaking News (@cnnbrk) May 2, 2015

While many wonder if they will choose Diana as the royal baby’s name, sources say it’s far more likely they would use it as one of the princess’s middle names instead.

Prince William, Kate Middleton, and the new royal baby had several visitors on Sunday. Pippa Middleton, as well as Kate’s parents–Carole and Michael Middleton–traveled from Bucklebury to see the princess. Prince Charles and Camilla Parker Bowles arrived a bit later in the day. It’s uncertain whether Queen Elizabeth has been to visit the baby yet or not. Prince Harry won’t get to see the royal baby until he returns home from Australia later in May.

"Still no announcement of a name. It is expected in a day or two" @tomsteinfort #RoyalBaby #RoyalBabyName #Today9

— The Today Show (@TheTodayShow) May 3, 2015

What do you suppose the royal baby’s name will be? Might WIll and Kate stick with tradition or forego what might be expected of them instead, and name their daughter–her first name, that is–after Princess Diana?