I often get inspiration for accessories from clothing construction. I like to think of the handle casings for the Britta Hoopster Basket as little collars folded over embroidery hoops. Here's a close-up of how they're constructed:

Britta Handle casing Step11

Step 11
Step 11 (from the Britta Hoopster Basket Pattern instructions) The handle casing is sewn to the basket, right sides together, keeping the handle casing lining free.

Britta Handle casing Step15

Step 15
Step 15 After the lining is sewn to the basket and turned right side out,

the handle casing lining is hand-sewn to the basket lining.

Britta Handle casing Step15cont

Step 15 (cont.)

Britta Handle casing Step15contd

Step 15 finished
Step 15 (finished)

Britta Handle casing Step16

Step 16 Fold the handle casing over the embroidery hoop and hand-sew the handle casing to the lining.

Britta Handle casing Step16 finished