Hello again. I agree with the connection you made between the Johnson family and Cooke family.I believe the Johnson family that linked to the Cook family was a different line from the Johnson family that linked to Parmele.
The Johnson line that linked to Hannah Parmele is Robert Johnson according to Guilford, CT town records. The Johnson line that links to the Cook family came from MA and appeared unrelated to Parmele.
Again this is my opinion. Therefore I think we may be related only through the Cooke line. I do not believe we are related through the Parmele line because I connect a different Johnson family to Parmele than you do.
My Cook line : Francis Jacob Caleb Paul - his sisters married into the Johnson family. This is where I believe our connection lies.
I descend 8 generations of Cooke but appear to relate to you through the 4th generation.