We used what we called fag ends of clothes line to light firecrackers when i was a kid.

the frayed end of the line would smolder for hours, and could be whipped around your head to oxigenate the smoldering rope and get it hot. it was hard to get the smoldering started, but it was in long run, easier and safer than matches.

Faggotting, is a lace-like stitching that is used to join fabric. it is at once, strong, light(lacy) and flexible.
Baseball covers are sewn on with the same faggoting stitch, (but pulled tight, so there is no lacy effect) and the same stitch is used in open heart surgery, especially in valve replacement.

its hard to tell if what is meant is oversewn ends (sewn with faggoting) or frayed ends.