I need to see a diagram. The double sink has a small bowl and a large bowl. Small bowl is where home owner wants disposal, its on the left. Large bowl is on the right . Dishwasher also is on the right. I would like to know how to run the in line vent and where to place it in the chain of fittings and such.

Possibly you have used some incorrect terms her " line vent and where to place it in the chain of fittings and such." Not a vent but maybe you are asking abouth the dishwasher drain hose and high loop or air gap. Old plumber show how to Install a dishwasher drain under your sink. - YouTube

The vent is already in place so what are you asking? I get then feeling that you're uneasy about the DW being on the right side and the disposal being on the left side. Are you asking how to connect the DW drain or what's the hookup coming out of the wall. Let me know, Tom