I apologize if I'm pushing for the obvious; I just haven't seen anyone drill down on it yet.
Constraining a custom timer job (that is, your own timer job class that derives from SPJobDefinition) is done by controlling constructor parameters.
Timer jobs typically run on the server where they are submitted (as indicated by vinny) assuming no target server is specified during the creation of the timer job. The two overloaded constructors for the SPJobDefinition type, though, accept an SPServer and an SPJobLockType as the third and fourth parameters, respectively. Using these two parameters properly will allow you to dictate where your job runs.
By specifying your target server as the SPServer and an SPJobLockType of "Job," you can constrain the timer job instance you create to run on the server of your choice.
For documentation on what I've described, see MSDN: http://msdn.microsoft.com/en-us/library/microsoft.sharepoint.administration.spjobdefinition.spjobdefinition.aspx.
I don't know anything about the code you're running, but custom timer jobs are commonly setup during Feature activation. I got the sense that your codebase might not be your own (?); if so, you might want to look for the one or more types/classes that derive from SPFeatureReceiver. In the FeatureActivated method of such classes is where you might find the code that actually carries out the timer job instantiation.
Of course, you'll also want to look at the custom timer job class (or classes) themselves to see how they're being instantiated. Sometimes developers will build the instantiation of the class into the class itself (via Factory Method pattern, for example). Between the timer job class and SPFeatureReceiver implementations, though, you should be on the way towards finding what needs to change.
I hope that helps!