Yes, I am on a dialup connection, through an analog router. Version of OE is 6.0, but not up to date with the latest and greatest. Using Eudora (free), the result was that I got about 86k of an approx 400k attachment, no error message presented, and the message was not removed from the server.
I finally went into Neomail and deleted the offending message (this is the way the problem was solved previously too).
As far as my ISP is concerned, the problem could very well be with them. They are totally clueless, and I feel that is not worth the time and aggravation for me to contact them. Of course, the problem could be my router as well, but I do not think it is that.
If others are not experiencing the same problem, then I strongly suspect it is them.
Thanks for the suggestions.