Apply the generic template to the nodes/servers you want this would reduce half of your work, now get onto the nodes through settings -> manage nodes.
Open the node view you would see the application applied to it, click on the application and then edit the component names over there.
The second option would be once you apply the template , get onto SAM Settings -> manage templates
select the template, click on edit - it would open up the template you created and you would be able to view application name (Site A File Monitor) and node , application (Site B File Monitor) and node. Click on Site A File Monitor and edit your components name from here.
Hope it helps