Hello everyone!

I have just recently purcahsed a home (my first home). The home has oil hot water and heat; and a wood/coal stove backup. The wood stove is already plumbed into the house hot water system, but has no circulator of it own. The wood stove does have a controller for a circulator, and a wire has been run over to the circulator on the oil furnace; but not connected. My question is this: Can the oil furnace controller, and wood stove controller both be connected to the circulator pump simultaneously? My understanding is that these controllers are esentially relay switches, and there is no danger of back feed. However I want to be sure, before I connect it up that way. Don't want to let the magic smoke out of anything expensive!

As always, I would greatly appreciate any help you can offer!