Some additional info regarding the problem I describe above.
Prior to my post above, I wasted over 1/2 hour of the tech support person from my ISP trying to resolve the problem. He remote logged into my machine and tried various port, ssl, & authentication alternatives (as I had already tried) without success. Facts are:
1) it is only receive mail. Sending mail is not affected (though I don't actually send via that account any more).
2) authentication is password. (same pwd as for send mail)
3) ports 995 and 587 make no difference, nor does ssl on or off for any of the 3 port number alternatives
4) deleting the account and setting it up again results in a single successful reveive mail cycle, and then the problem recurs
I use 2 different ISPs, with 3 different accounts (URLs) all running POP mail. The problem occurs only with one ISP, the one with the single (infrequently used) account. That account is only used to receive and forward logs from my wireless router and network storage devices, so it is important to me, but is a receive-only account.
My solution has been to ask Google to solve my Apple problem. I have a GMail account set up in Mac Mail to collect the mail from the ISP POP account, and to forward that mail to Mac Mail. I have disabled the offending POP account in Mac Mail and I therefore get my logs mail via the GMail account inbox. I suppose I could just set my devices to forward logs to GMail, but I have other reasons to continue hoping for a solution.
As rwbrown indicates, the problem occurs with Lion and apparently not in Snow Leopard (and Leopard BTW). In my case, it arose shortly after the upgrade to Lion. Leads me to conclude some probability of insanity in Lion since:
-ISP's tech support couldn't solve it
-send mail is unaffected
-all port # & ssl alternatives have no affect
-account works on initial setup, then fails
-GMail works to receive from the ISP POP account without difficulty