The session.name option in the /etc/php.ini file will contain the name of the session cookie. By default, the name of the session code is PHPSESSID. 

session.name = PHPSESSID

You can change this to some other name, such as SessionCookie. The name should not contain any spaces or special characters.

session.name = SessionCookie

The ps command can be used to determine if your system is using init or systemd. If PID 1 is init, then you will use the service command. If PID 1 is systemd, then you will use the systemctl command.

If your system is using systemd, use the systemctl command to start and enable httpd.

systemctl enable httpd
systemctl start httpd
systemctl status httpd

If your system is using init, use the chkconfig and service commands to start and enable httpd.

chkconfig httpd on
service httpd start
service httpd status

The cookie in the browser should now show the updated name.