I noticed a 6L6 in a BF Vibro Champ I just bought...? I open up the amp and the cathode bias resistor was 1K ohms for the one 6L6 - was that the correct value for a single ended 6L6 cathode biased amp?
Most cathode biased 6L6 amps ran 2x 6L6's with the same 250Ω cathode resistor you'd see in a 2x 6V6 cathode biased amp. Essentially the same cathode resistor works for both tube types (the 6L6 draws more plate current, through the same resistor, yielding a larger voltage across the resistor and therefore a larger bias voltage).
Whoever put a 6L6 in may have noticed it running hotter than they'd prefer, or they noticed they didn't get a lot more clean like they expected, and raising the cathode resistor value would raise the bias voltage and appear to address both problems. Really, they wouldn't get any more output power because the PT and OT haven't been changed to enable it, but the larger bias voltage on the bigger tube requires a larger drive signal before distortion, and makes the little amp break up at a higher number on the volume knob and
appear to have more headroom. A SPL meter would likely dispel the myth that more actual output power or volume was attained, though...
I open up the amp and the cathode bias resistor was 1K ohms for the one 6L6 ... Any info on using using a 6L6 in this all original 66 Vibro Champ? I know keeping it stock is the way to go but it can easily be changed back to a 6V6.
6L6 and changed cathode resistor isn't "all original" in my eyes, but I think you mean there were no major changes to the amp aside from the cathode resistor swap.
Measure the heater voltage; if it's still ~6.3vac (or 3.15vac from one heater pin to ground), then the amp is holding up fine using a 6L6. I don't think you could hurt the PT, because the OT primary impedance would keep you from pulling too much current while you're playing it. So if the heater voltage hasn't sagged (implying you're stressing the heater winding with the 6L6's double-6V6 heater current), and you like the sound, leave it as-is.