"She made sure she had organic cotton made without pesticides and chemical free," a source tells PEOPLE of the new grandmother's purchases

By Phil Boucher and Jen Juneau
June 07, 2017 11:10 AM

The Clooney twins have quite the doting grandma!

According to an onlooker, Amal Clooney‘s mother Baria visited the E-Side boutique in the Gerrards Cross neighborhood of Buckinghamshire, England, Tuesday afternoon, the same day as the birth of Amal and husband George Clooney‘s twins Ella and Alexander.

“She bought two romper suits in organic cotton. They are two sleep suits with a bear and rabbit,” the onlooker tells PEOPLE exclusively of her purchases. “One of the romper suits is in gray with an image of a bear, and the other is in mint with a picture of a rabbit.”

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The onlooker adds that the rompers were part of a set of gift boxes, retailing for £26.95 each and also containing a hat and a bib.

“She made sure she had organic cotton made without pesticides and chemical free,” the source says.

This isn’t the first time Amal’s mom has been seen out and about buying gifts for the babies. In February, she was spotted buying children’s books in London.

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“Ella, Alexander and Amal are all healthy, happy and doing fine. George is sedated and should recover in a few days,” the new parents of two said in a statement Tuesday.

A source close to the couple’s family added to PEOPLE, “This is very good news. We’re very, very happy. George is going to be a great father of twins.”