If the ringer has four wires, there should be a red, slate, slate/red and black wire.
Red and black go to the line wires, and the sl/red and slate go to the capacitor (half a microfarad) in the telephone's network, generally the terminals marked A and K. The coils are in series with the capacitor and the line wires.
Red and Slate/Red are the two ends of the 2650-ohm coil. Black and Slate are the two ends of the 1000-ohm coil. There should be no continuity bewteen the Slate and Slate/Red wires.
In the photo below, you can see all four leads at the right side of the terminal strip on the network. Starting at the top, there is the SL/R lead, the SL lead, the BK lead (on the tip side of the incoming line) then the yellow line cord lead on terminal G with no connection, and the R lead (on the ring side of the line.)
Does the ringer look like this? This is a photo of a Kellogg clone of a Western Electric 500 set.