Task Manager doesn't show a Parent-Child process view. That is where other utilities, such as Process Hacker and Process Explorer, come to the rescue.
Process Hacker
Process Explorer
Process Explorer.
Other Tools
Aside from Task Manager, it would be best if you also familiarize yourself with the command-line equivalent of obtaining information about the running processes on a Windows system: tasklist, Get-Process or ps (PowerShell), and wmic.