My brother and his ex had a Basset named Foberty. No telling whose name they borrowed, but it fit that dog to a T.
Names already mentioned that I would pick for a sad-faced, ear-dragging dog would include:
Claude
Leonard (but spelled Lynyrd)
Silas
Vernon
Eugene
and from my list Virgil.
There’s no telling how often I will say (under my breath) to some shithook in traffic, “Goddammit! Move it, Virgil!”
Benjamin, Ezekiel, Seth, Mordecai.
Prudence, Tatiana, Josephine, Cleopatra.
Triskadecamus.
Rumpole.
Rumpleforeskin…
Havelock
Mustrum
Let’s not forget Ethel and Willard and, courtesy of my aunts who both died in their late 90s, Audra and Maybelle and their cousin Myra.
ETA: Oops, I see someone already mentioned Ethel. How 'bout I substitute it with Delmar - another cousin. Why yes, we were farm people, why do you ask?
Hey! Leave my mother out of this!
I had a great uncle Halleck. Other ancestors were Harriet, Nellie, Elona, Calvin, Jehiel, Delilah & Sampson (yes, really: they were siblings), Benoni, Thankful, Patience, Ezekial, Hezekiah, Levi, Wesley.
We’re dogsitting a Boxer named Gracie. The jokes are too obvious.
Moses
Chef, your mom’s name is Clem? Short for Clementine? 
I don’t know … the name Virgil is kind of growing on me as creeping-up cool. And I have a 2-year-old nephew named Elias! Maybe I’m secretly an old person. :eek:
My contributions, from my own family:
Dorothy (my middle name, actually!)
Victor
Imogene
Flossie
Madge
Bert
Eleanor
Bruce
Some other goodies:
Granville
Maureen
Cyril
Cecil
Blanche
The old lady who lived across from me when I was a child (Winifred) had a dog named Mitzi. My Pop (Ellis) had a dog named Bunty. So… old people names that old people named their own dogs.
Seconding Ethel and adding a Beulah.
Wilbur or Walter for a male.
It’s amazing to me how many of these names are family names of mine and classmates and such.
I’m wondering if some antithetical names might be fun to provide (not really a hijack but more of an extension of the OP’s efforts), just for contrast as names that just don’t seem to fit a Basset:
Fifi
Lance
Bullet
Max
Tina
Magnum
Geraldo
Kyser
Nestor
Justin
Danny
God, I could spend the rest of the day at this!
Thinking back to my grandparent’s and great-grandparent’s generation:
I just thought of an AWESOME name for a female basset: Mavis.
Peggy
I’m a fan of “crusty old prospector” names.
Hezekiah
Mordecai
Aloysius
Zebediah
etc.
Hmm, apparently I have given both my children old people names. Both peaked before the chart. Sorry kids. I consider them “classic” not old.
Waldo or Waldorf
That opens up some possibilities for a litter of them:
Elvis
Purvis
Davis
Reavis
Jarvis
I used to babysit for some people with a Basset named Flounder.