expert advice needed about my numbers matching automatic 727 torque flyle trans.

Maybe try running some transmission cleaner through it, it has been sitting a long time as you say, the transmission might be gummed up by sitting.
Then a fresh oil and filter change is what i would do.
A shot in the dark, but it's worth a shot to me and then you know what you have at that point.
I don't think it's the converter at all.
I hope this helps.
Tom.