I checked the Copyright Office  card  file  on  "Fig  Leaf  Rag."
There are  two registrations one  for  "Fig Leaf  Rag"  by  Scott
Joplin punlished Feb. 24, 1908  by Stark Music Printing and  Pub.
Co., New Yrok; the other for "The Fig Leaf; rag and  two step" by
W.R. Lawrence, June  7,  1909,  with claimant  Wm.  R.  Lawrence,
Philadelphia, Pa.

It is not impossible that two versions (arrangements) of the same
tune were registered at different times, and  not impossible that
one was  be registered under the composer's real name and another
under a pseudonym.  But  is  less likely that  a  tune  be issued
first under the  real name  and subsequently under the pseudonym;
it is usually the other way around WHEN it happens at all.  To me
the evidence (including the  slight variation in  title  and  the
fact  that copyright registrations, being  legal records, usually
reveal  pseudonymous  usages)  suggests--without  proving--  that
these are two different tunes by two different composers.

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