You can order the patches from Little League, although they are not found in the merchandise section of the
http://www.littleleague.org website. Instead, you have to go to Forms and Policies section and then the League and District Forms subsection. Scroll down and you will find the Patch Order Form as PDF file you can print and send in. The patches cost $1 each.
http://www.littleleague.org/forms/leagueforms
Good luck.
Nick