CLARA: Are you here to see my brother?
RORY: Oh, no. No. Not at all. I’m, um, with … the Girl Scouts.
CLARA: I’m gonna be a Girl Scout someday. I’m a Brownie now.
The Girl Scouts are the equivalent of the Girl Guides, and a sister organisation to the Boy Scouts. Formed in 1928, they have over 10 million members in 145 countries. The Brownies are for girls aged 7 to 10. They are the youngest stream in the Girl Scouts.
In real life, there are Girl Scout troops all over Connecticut, including in the Wallingford area, where Stars Hollow appears to be located.