Remembering the time of year these bucks were born could have more to do with the time of year they shed their antlers then do other characteristics. It could also be in their genetics, but my observations indicate that the time of year the doe or cow is bred has more to do with the time of year their offspring shed their antlers. Once you spend any amount of time learning these and other characteristics, your success at locating more antlers will increase. Winter yarding areas tend to concentrate big game making it easier to locate antlers. Trails to and from bedding and feeding grounds are prime areas to look.
Cedar swamps are also great as deer especially love cedar bows in the winter.
I highly recommend bringing a camera along anytime you are out enjoying the outdoors. How many times have you been there, seen something you wished you could take a picture of but didn't bring a camera. Today, cameras are cheaper and better and definitely smaller, and just when your child finds his first antler, you will want to capture that memory in a photo. Many people have said that shed antler hunting is like looking for morel mushrooms. Morels don't just grow everywhere.