Not sure what you want to do but sounds like you are looking for controls to drive a machine that functions like a lathe (called X, Z and A [or C] axes typically).
Carriage, cross-slide and spindle - does that fit what you are asking?
Sounds like a lathe with live tooling. Most routers built around a 4th axis still have 3 linear axes. I've seen some designed around pool cue's and guitar necks, usually relatively light-weight and inexpensive (especially compared to a lathe with live tooling.)