I am very happy to tell you it looks like this works. Importing the private keys to Electrum.
I started Electrum and set up with private keys (did not set up a new wallet on Electrum. So I guess this WAS a sweep.)
And was able to send that balance off to my Ledger.
Very nice.
Question,
Should I wait with doing the next bitcoin adddress until Electrum has confirmed the transactions, the send of the bitcoin out of the wallet before I close it and do the next?
When I do the next address. Should I delete Electrum and reinstall Electrum each time (to avoid the same problem that I had with BitcoinCore).