If you wish for Users to not utilize the button, the Progress Text area can be customized to provide a message to parents.
  1. Go to Enrollment Management > Admissions > Admissions Setup.
  2. Select the Progress Text tab.
  3. Click the HTML button.
  4. At the end of any existing Progress text, enter information to alert users not to use the +Apply Another Child button. (Sample code provided below)
 
<font size="3" color="red">Please do not use the +Apply Another Child button below. If you wish to apply another child, please start the process anew by going to <a href="[insert URL for desired application link]">this page</a>.</font>

This will end up looking something like this:
Please do not use the +Apply Another Child button below. If you wish to apply another child, please start the process anew by going to this page.

Depending on how much you want it to stand out, you can increase the font size within the HTML code.