You have to stop the stretch in the bib with a stabilizer that irons to the bib. If the bib if double, I don't know if adding it to the bottom layer only will fix the problem. You also need to use a Solvy or some water soluble stablizer to the top. You still need a cut away underneath but hoop it & attach the bib to it with a spray adhesive.

I did a cut away on the bottom and the solvy on the top but it still made a mess. I will try the iron on next. Thanks for the info!!! I am thinking of just putting the design on cotton and appliqueing it onto the bib.