Norse Mythology: Listed by Snorri as one of the goddesses. Snorri tells the story of two children, Bil and Hjuki, who were taken from the earth by Moon, to accompany him. Their father was Vidfinn.
Bil is also called the goddess of weaving by Gisli in Gisla saga Surssonar. After Gisli has a prophetic dream regarding his death, he speaks the verse containing the reference to Bil. The tone makes it seem that weaving refers to weaving destiny.
(Nicole Cherry, A list of Norse Beings, http://www.ugcs.caltech.edu/~cherryne)