The 'Kill Bill' star became a mother for the third time on July 15 when she delivered a little girl and her first child with financier boyfriend Arpad
Busson. Thurman, 42, was spotted cradling her bundle of joy at an organic cafe store in Woodstock.
"Thurman is a regular visitor at the organic cafe, where she ordered cold-pressed juices," a source said. Thurman, who has two other kids from her marriage to Ethan Hawke, is yet to confirm the new arrival's name.