Ron-
The 2-6-0 uses a cam and switch arrangement in the locomotive to trigger the chuff sound. One of the driving axles on the locomotive has a special cam, which triggers the switch as the axle rotates. The switch basically sends an interrupt signal back to the railsounds board, which in turn triggers the chuff; the faster the axle rotates, the faster the chuffing sound.
Based on Lionel's exploded parts views for the locomotive and tender, the TMCC components are in the locomotive while the railsounds components are in the tender; The wiring schematics for the locomotive and tender also show how the electrical parts are arranged.. You should not need to disassemble the tender to troubleshoot the problem.
Before disassembling the locomotive, I would recommend going through a full TMCC reset to see if this clears the problem. It is very easy to perform a TMCC reset - first turn off track power and move the run/program switch on the underside of the locomotive to "program". Place the locomotive and tender back on the track and turn the power back on. Using your TMCC or Legacy remote, press "ENG", then enter a two-digit ID of your choosing using the number keypad, and then press "SET". The locomotive will respond by either flashing the headlight and/or blowing the whistle. Once the engine ID is set, the next step is to set the appropriate TMCC functions for your locomotive. To do this, press "AUX-1", then enter 74 using the number keypad; code 74 is used for most steam locomotives with a wireless drawbar. The locomotive may flash the headlight or sound its whistle again to confirm the function code is set. To finish turn off the power and move the run/program switch back to "RUN". Now your locomotive is ready to be addressed normally via whatever ID code you set for the unit.
If the reset did not restore the chuffing operation, the next step would be to disassemble the locomotive by removing the needed screws to release the boiler. With the boiler off, check to see that all modular boards and connectors are properly seated in the appropriate receptacles, then look for any loose or broken wires. Reseat the R2LC (TMCC receiver) circuit board, then test the locomotive with its shell off and the tender to see if the problem is solved. Don't worry if the problem is still there, but what we have done so far is ruled out the R2LC board and indirectly the Railsounds boards as the likely culprit (I would consider the Railsounds power or data boards to be faulty if you did not have any sounds at all).
At this point let's focus on the previously mentioned cam/switch assembly, which triggers the chuff sound. The cam is pressed onto the axle of the front set of driving wheels (closest to the pilot truck), and the switch should be mounted directly above the cam. Rotate the drivers to see if the cam contacts the long metal lever on the switch. If it does not, adjust the metal lever on the switch so that the cam engages it smoothly. Check also to see the cam and switch are aligned properly, and adjust if necessary; if the cam is sliding back and forth on the axle, try a dab of super glue to hold the cam in place on the axle (once it is properly aligned to trigger the switch). Retest as necessary to see if the normal chuff has been restored.
If you verified that the cam is triggering the switch as it should but the chuffing is still intermittent, I would look for any loose/broken/cold solder joints on the switch contacts. If you can, test the switch with an continuity meter to ensure the contacts are working normally. If the switch is determined to be defective, replace it with Cherry part #DG23-B1LA; Digi-Key, Mouser, and other electronic parts suppliers should have this switch in stock for a few dollars.
Another possibility is that there is a problem with the wireless drawbar between the locomotive and tender. Try cleaning the surfaces first to see if anything improves. If you have another locomotive and tender with a wireless drawbar, try switching the tenders to see if the problem is with the transmitter or receiver.
Unfortunately if the problem still persists after field troubleshooting, the only option left would be to bring it to a local authorized Lionel repair station, or send it to Lionel directly.
Best of luck!
-John