hello , i am far away to be an electric guy but i will go to basic and check the silly things may happens like: 
Light socket  broken , bulb holder , broken wires , broken bulb , no ground , flasher relays too old ?
the smoke is not a good sign.... shortcuts in action 

Have you changed some bulbs around the car ?  
the fuse are good  ? 
hope it helps

Thanks BobE. This is a 1965 FB with pre-April wiring and Dashboard. Meaning there is a single bulb flash indicator which shows both left or right. I put LED lights in the dash and I remember that light bulb had two clustered LEDs inside with a grounding wire to complete the circuit. LEDs read differently when using an ohmmeter. I can't remember but it should read as an open. Regardless the path to the front left should read the same. I had to break away and get some sleep to get some fresh perspective on it. Think I will measuring where is goes through the firewall junction and see which side my issue is on. 

Hey Ed, The old saying is that all electrical components are made with built in smoke, let the smoke out and it’s time to replace it!! 

Let’s see if I’m understanding you right. Left side blinkers good.Right rear blinker is good. Right front does not work. Does the right front running light function?  

“I put ohmmeter on the blue wire and find it grounded out at the switch.”
Should have this been white / blue?

I think of the flasher as a relay contact, the load from the lights causes it to open momentarily then close again. I shouldn’t give you any issues with trouble shooting if power is passing through.

If you pull the bulb from the dash turn indicator, I would think you are clear for continued trouble shooting.

The lights are grounded through the sockets. So, with a good lamp in the right front socket, you should read Ohm’s to ground from the 38C connector out to the socket cause you are reading through the lamp filament. The Ohm’s between the right side and left side should be close to the same. Neither side should read as a direct short. With good readings, I would try sending the signal from the left blinker (38A) to the right side. If it operates correctly, the wiring on the car is good and the switch needs to be re-evaluated.   

If the wiring has a reading to ground on the yellow highlighted section between the switch and the 38C connector, something is wrong with the switch, and probable the reason for the smoke!!

Last edited by Bolted to Floor (9/03/2018 9:21 AM)

Bolted you are right I meant to say White/Blue wire. Was tired last night, I did highlight the correct wire on the diagram I was chasing.
Well I found the problem. Kept chasing the issue to the front right corner. Had to tear the wiring out of the lamp assembly to directly find the problem. Less than 8k miles on these cheap -oh no I used a word I shouldn't have- Chinese made POS Scott Drake things.

The good thing about difficult problems is that they leave a lasting impression/ memory and become easier the next time.

Great troubleshooting example. Keep up the good work, guys.