There are several patch programs and some info on the retired badges like sew simple. There are also service focused programs and many great tutorials focus on beginner learning machine and/or hand sewing. Here are a few I've found:
Cupcakes and Lace. One of the local girl scout partner organizations, they offers workshops that individual girls can register for that teach sewing and crafting skills and some also meet badge requirements. This fall they are offering Junior Jeweler and Sew Simple programs. I'll be keeping an eye on the workshop list to see what's coming up.
Juliette Sews. GSNCA has a Council Own patch that helps girls learn more about sewing by hand and by machine. The link has a list of 29 requirements. Each level has to do items 1-4 and Juniors have to complete an additional 7 steps of their choosing. The patch is listed at $1.50 on the their Council Own Shop page.
Sew Simple Badge. I found a copy of the retired Sew Simple badge requirements along with other retired badges here. If I can't get her into a workshop I can always work on it at home but I'd have to track down a badge myself.
Dress a Girl Around the World offers a patch for those who take pillow cases and turn them into dresses. I stumbled across this patch on Pinterest and after some research decided that this could be a great way to combine service with the sewing. It is a program of Hope 4 Women International, an Arizona based ministry organization. "Dress a Girl Around the World provides patterns, ways to be involved and opportunities for you to deliver or to help fund the delivery of dresses to girls around the world. People from all over are forming" They sell patches on their site for $3.50.
A hand stitch, cross stitch card idea
This pin is a collection of 7 simple pillowcase dress variations
Link to a Martha Stewart hand stitch felt tissue cover. I'd make changes to the size, embellishments and order of steps.
A cable keeper-A simple stitched band with button hole and button work
Sock Bunnies-up-cycle some socks and practice softie hand sewing
More advanced, a up-cycled t shirt braided rug