damaged quilt

2 years ago, I finished the top for a friend's quilt. The ladies at her church asked if they could quilt it, and it is lovely. However, some of them were not experienced, and in pulling the knots through the top, they actually broke some of the threads in the fabric. I only saw one hole, but I haven't laid it out to look carefully. The holes are very small, but with the broken threads, I'm afraid they will fray.
Does anyone have any idea what I can do?

The original fabric

Judy asked about the fabric I used for the Posies quilt. Here is a picture of the way it looked before I "cut and pasted" it.