Nicky Hilton Rothschild Welcomes Daughter Teddy Marilyn

Christmas came early for Nicky Hilton Rothschild, who welcomed a second daughter with husband James Rothschild on Wednesday

Christmas came early for the Hilton-Rothschild family!

Nicky Hilton Rothschild welcomed her second child with husband James Rothschild on Wednesday, Dec. 20, her rep confirms exclusively to PEOPLE.

Daughter Teddy Marilyn Rothschild — named after Hilton and sister Paris Hilton‘s paternal grandmother Marilyn June Hawley — was born in New York City.

The heiress, 34, and British banker Rothschild are already parents to Lily-Grace Victoria, who was born in July 2016.

Nicky Hilton/Instagram

A source tells PEOPLE Hilton’s family flew in from California for the birth, and that the new parents are “so thrilled to give Lily-Grace a baby sister.”

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James and Nicky Hilton Rothschild. Jared Siskin/Patrick McMullan via Getty

They may be excited Lily-Grace is a big sister, but the second-time parents didn’t know their newborn’s sex until she was born — Hilton told PEOPLE in November that they were keeping it a surprise and had decorated the nursery “all neutral.”

Paris even covered her bases at Hilton’s tea party-themed baby shower on Nov. 22, with pink and blue cakes adorning the tables at mother Kathy Hilton‘s mansion in Bel Air, California.

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And though Hilton was insistent she had no preferences on her second child’s sex, she did hint to PEOPLE that she was leaning one way. “I did love having a sister,” she said of her own childhood.

As for how Lily-Grace will be as a big sister, Hilton thinks “she’ll be really sweet.”

“She doesn’t have a jealous bone in her body,” the then-mom-to-be said. “When I hold other babies, she doesn’t care. She’s very sweet.”