Bill,

If I hadn't retired from LC, it would be duck soup getting you the
information you need.  But I did find this one in one of my Wurlitzer
band organ roll catalogs:

    A Hundred Years From Now  (Silvers & Baker)  (Apr 27, 1928)

My next thought was to check the other two in the Harry Fox Agency song
list, which lists all tunes for which the agency is collecting
royalties.  To my surprise I see that list has been converted from a
public list, searchable on the net, to a restricted one available only
to publishers who intend to file with the agency for license to use.

Sigh!  C'est la vie.  The HFA website does refer you to a commercial
song list, but that is pretty lame and seems to concentrate on modern
stuff, not tin pan alley tunes.

The website   http://popmusic.mtsu.edu   did produce results for
another of your three tunes:

    Nobody Loves Me  (Karyl Norman & Bobbie Simonds; lyrics by Karyl
    Norman) Published in 1924 by Milton Weil Music Co, Inc., Chicago.
    First line: Lovin' daddies are so hard to find, I said find, I mean
    the proper kind...

Couldn't do anything with "Drizzle, Drizzle, Drizzle."  But who would
want a tune with that title anyway?

Matthew Caulfield