Well, I searched and found a couple of sites:
FREE:
P&B Textiles has a free download for an apple core quilt called "Pop Parade"
http://pbtex.com/html/popparadepat.html
Tablerunner but pattern could be adapted:
http://www.ezquilt.com/patterns/tabl...ablerunner.htm
FREE Applecore TEMPLATE
http://www.thimbletales.com/images/P...lecoretemp.jpg
FOR SALE:
http://www.mycraftivitystore.com/pro...le-core-quilt/
Hope you are able to find what Mom's looking for ;)