Prince William and Kate cheered in Cambridge

It was a homecoming of sorts on Wednesday for Prince William and Kate.

The Duke and Duchess of Cambridge made their first official visit to Cambridge, their namesake city, where they were greeted by a crowd of thousands.

William and Kate, both 30, traveled from London to the English university town by train. The couple waved to the cheering crowds packed in Market Square from the balcony of Cambridge's Guildhall during the visit, which also included stops at a hospital, homeless shelter and Cambridge University, where the Telegraph reports they met with students at a reception and William was scheduled to deliver a speech.

Kate, who donned a cream MaxMara coat belted over an animal-print dress and suede boots, was reportedly concerned about how the windy weather was affecting her new hairstyle.

The Daily Mail reports that spectator Joanne Baldwin said, "I told her I loved her new hairstyle. She said, 'I'm not sure about it. It's a bit windy today.' I said don't worry, it looks lovely."

British reports also took notice of Kate's interactions with babies. One infant's mother, Tessa Davies, told the Telegraph, "She said how cute he was. He was due on their first wedding anniversary. His name is James William - the William was named after Prince William. I told her that and she said that was wonderful."

Kate reportedly also said hello to 3-and-a-half-month-old Zachary Tiger Sargent. The boy's mother told the paper, "She asked what his name was and how old he was and shook his hand. She seemed very interested in him."

Another spectator may have been sending a not-so-subtle baby hint to the William and Kate. Well-wisher Samantha Hill, who brought her 4-week-old daughter to see the royals, gave William a baby's onesie decorated with a helicopter and the words "Daddy's little co-pilot."

According to the Daily Mail, Hill said, "I made it for when his little one comes along, he's a helicopter pilot so his baby will think his daddy is cool. When I gave it to him he said 'I'll keep that' and handed it to his aide."