There were several different types of wood used in the player mechanism
of the player piano in the 1900s 'til the 1930s.  The two most common
woods are maple and poplar.

The yellowish- to greenish-looking wood seen in most player actions
is poplar.  Maple is a light colored wood used in rarer instances such
as the valve-deck rails in an Ampico.  A part that houses valves and
has the deck rails held to it with screws would most likely be maple,
but not always.

I have a early Wurlitzer in my shop that has no maple in the stack,
with some of the pneumatics made of pine and some poplar.  In all
instances I have seen the grain of the deck rail run perpendicular to
the grain in the pneumatics.  In some pianos the pneumatics are maple,
glued to maple rails.  In every example I have seen the pneumatics are
glued with hot hide glue so they can be removed with heat for future
repairs.

Do not even think that the cloth will outlast you.  I have three pianos
that were rebuilt in the 1970s with cloth that has hardened and now
will not work.  That is why most of the professionals use hot hide glue.
I use 2X glue from Player-Care or from Craig Brougher.  It is the best
I have used and is used by every well-known player tech that specializes
in restoring coin operated pianos for the largest collections in the
USA.  I do a lot of veneer work using a veneer hammer and hot iron.
It works great.

Wurlitzer used cherry or maple in the detachable valves often found on
band organs.  Maple was used in individual screw-on pneumatics such as
Simplex or Coinola.  Poplar was used in Cremona actions.  The motor
operated pumps usually use a maple plywood or solid maple.  Others can
contribute their knowledge of known woods in various other player actions.

Don Teach