Hilary Duff and Luca share a royally sweet moment

Suzy Byrne
Celebrity Broods

"Put your head on my shoulder..."

Seeing Hilary Duff enjoying a walk/snuggle with her son Luca is simply music to our ears. The new mom and her 5-month-old denim-clad little one were an example of pure bliss Thursday while out and about in Santa Monica, California. The 24-year-old mom, who will forever be remembered as Lizzie McGuire, positioned her wide-eyed tot on her shoulder as she strolled. Her friend pushed Luca's baby carriage, which was filled with shopping bags — a clear sign of a successful day of retail therapy.

Duff's oversize Louis Vuitton acted as a purse/baby bag and was filled to the brim with goodies for both her and him, including a pacifier and Vulli Sophie the Giraffe Teether. The latter is likely an essential as just last week Duff tweeted that the baby is officially teething. "Luca is cutting a tooth!!! It's the cutest/saddest (because it hurts) getting so big my boy!!" she wrote.

Should Duff even have to deal with menial things like teething? After all, yesterday it was revealed she is related to Queen Elizabeth II. That's right — according to a genealogical study done by FindMyPast.com, Duff — who recently inked a developmental deal to star in an upcoming TV series — is a very, very distant relative of Britain's royal matriarch, which makes her very, very distantly related to Prince William and that naughty Prince Harry, too.

"Both trace their ancestry back to Edward III, a king with many children who died in 1377," said genealogist Josh Taylor, who helped research the connections. A handful of other celebs had far-away royal roots as well, including Brad Pitt, Angelina Jolie, Ellen DeGeneres, and Brooke Shields.

We're not sure exactly what Duff purchased during her shopping trip — which took place the same day the genealogical study came out — but we kind of hope she heard the news and bought herself a tiara.