Is it possible to install a keylogger to monitor child activities while using Webroot?

@ wrote:
Is it possible to install a keylogger to monitor child activities while using Webroot?

You should be able to whitelist the keylogger from a technical point of view.  
 
Not knowing anything about the background of your situation I don't want to offer any specific advice on the appropriateness of using a keylogger or not, so I'll just link to this article of one parent's experience with it:
https://gigaom.com/2013/08/07/snooping-on-your-kids-if-the-nsas-tools-were-available-i-probably-would-have-used-them/