The customize dialog that @Dan_Obermiller refers to may have other options that you will find useful as well. It sounds like you might be using Copy Frame Contents and Paste Frame Contents to move the violins into another graph. When you do this, the violins will be layered on top of whatever is already there. From the customize dialog you can also:
1) Change the layering of the objects (arrow buttons). Move the violins up in the list to have them drawn before the points.
2) Change the fill color of the violins - in the source report the color was likely linked to a legend, so they may lose their color when copied.
3) Change the transparency - For a different effect, using transparency would also make points beneath the violin visible.