Thanks to the help here I have been trying to clean up olde models as a learning experience. I created display mode that does not show tangent lines and I was able to get this part so show no lines where there is supposed to be tangency.
This is a volume of revolution where I have chopped off the end and added surfaces to the back.
The potential problem area I have is here:
When I try to fill this gap using Sweep2 or NetworkSrf, no matter what I have tried the edge to the right is not tangent (the bottom ones usually are).
If I I do matchsrf to multiple edges, I get a total mess because there appears to be no way to match differently by each edge (it appears to want to match all edges tangentially). I want three edges tangent end one edge non-tangent.
If I do matchsrf to the forward edge that is not coming out tangent, the tangent edge that was correctly tangent tangent pulls away.
The only potential solution I could arrive at was to chop a four-sided hole:
Then fill that.
I am wondering if I am missing something and there is some correct way to handle this.