Check out this free golf! (Probably for kids older than toddlers, imho!)
It's Take Your Daughter to the Course Week!
Courses hosting the event offer a FREE greens fee to young women accompanied by a paying adult during the week and host at least one free clinic. Many courses will offer additional special promotions. Contact your local participating course to find out what they will be offering. Use this opportunity to take your daughter, granddaughter, or niece to your local course and introduce her to your favorite pastime.
http://www.playgolfamerica.com/index.cfm?action=tyd is a list of participating courses july 8-14th! i would suggest calling to make sure they're aware, etc.
There is also the "Kids Play Free" program at a Bamm Hollow (Lincroft) and Colonial Terrace (Ocean) where kids play free w/paying adult -- should be year round, too.