Perhaps I'm not making myself clear. My original question was about the prospects of a publisher purchasing a book who shared a name with an existing character. And Julie's response ( I did not know there was an Ask a Lawyer thread) was probably the best solution.
I added some context, but it got kind of convoluted.
First, to Debbie's suggestion (Hi Debbie), that I should consider renaming the character wouldn't be possible the way my story is constructed. It is integral to the story. See, his name is actually Horace. He is a young dragon who can't breathe fire. Well, his inability to do so gets him mocked by the other young dragons, who say: "Look, he only has duds! Yeah, he's Dudley the Dragon." So changing the name would alter the entire arc.
Next, to Harold's point . My PB Dudley and the TV series Dudley, really have nothing in common other than their names. Now, I've never seen the show, or any merchandise for that matter, but the premise as outlined on Wikipedia, and my story, vastly differ. The show features puppets and people. That's why I was asking the original question.
And just to clarify: I submitted the manuscript to multiple publishers in 1993. I chose the one to Little, Brown & Company to cite because it happened to be in my accordion file in my closet. Now, the working title of the TV series could have been "The Adventures of Buford the Dragon," right up until the time of the filming and changed at the last minute. Am I suggesting that's what happened? No. Am I curious...Yes!
See, if I create something, and like I said it was the first PB I wrote, I would still like to give it life. That's just me. That could be accomplished by submitting it to an editor/agent or self-publishing it and offering it on various book sites.
And that was the reason I asked. Sorry for the confusion.
-- T.B.