I think so. John Olsen has read every Shadow umpteen times, and here's what he
says.
Is Burbank his first name or last? Judging from "The Death Giver," it's
his last name. And his first? As you point out, the story does give the
initial "L" as a clue. "L. Burbank." Hmmm... Larry? Leonard? Linus? Your
guess is as good as mine. But since Harry Vincent has a business card
"H. Vincent" and Burbank has a business card "L. Burbank" I think we can
safely assume they weren't using aliases, and the intial "L" is a valid one.
John
--
"Who knows what evil lurks in the hearts of men? The Shadow knows!"
The wonderful old pulp mystery stories are all reviewed at:
http://www.spaceports.com/~deshadow/
I also found it interesting that comic book heroine Barbara Gordon
(former Batgirl), as Oracle, has become a present day version of
Burbank. Over the last few years I've sometimes wondered if the
architects of Barbara's transformation into Oracle (Kim Yale and
husband John Ostrander according to the Wiki article) had Burbank in
mind.