Pianophilia

Eggeling, Georg (1866 - ca.1923)
Eisler, Arthur (? - ?)
Elliott, Percy (1870 - 1932)

Engel, Heinrich (= Hans Engelmann) (1872 - 1914)
there's also a real Heinrich Engel (1855 - 1909) who worked as conductor it seems, not sure if he wrote piano music.
Engelmann, Hans (1872 - 1914) few others added to IMSLP: Old English dance, Op.5/1, Dreamland, Op.417, Op.502, Op.504, Op.733

Enna, August (1859 - 1939)
Espen, Theodor (1847 - 1906)
Remember, Op.7

Esipoff, Stepán (= Anton Strelezki) (1859 - 1907)
Ewing, Montague (1890 - 1957)
Eyer, Frank Lincoln (1868 - 1932)
added here: Evening Op.6,Tarantella Op.15, Valse caprice No.1 Op.18, Valse caprice No.2 Op.33

Arnold, Hugh [nom de plume by Ada Richter (1900-1988)]
Baines, William (?) [It seems there are two composers with the name William Baines, one who lived 1899-1922 and one who published some educational stuff in the 1940. The works here are from the latter.]
Balderstone, Mahlon (?)
Barnby, Joseph (1838-1896), arr Kohlmann, Clarence (1891-1944)
Bartok, Bela (1881-1945)

Beck, Martha (1900-1997)

Bennett, Alexander (?)

Bennett, Robert Russell (1894-1981)

Bentley, Bernice Besnon (1887-1971)

Adler, Myra Agatha (1880-1970)
Anthony, Bert R (1876-1923)
Arant, Burton (1889-1967)
Arnold, Hugh [nom de plume by Ada Richter (1900-1988)]
Atherton, Frank Peabody (1868-1911)
Bach, Carl Phillip Emanuel (1714-1788)

Thanks for closing all the gaps.

Balderston, Mahlon (? - ?) could this be the composer?
alternate version of the little waltz
Conte, Paolo (1890 - 1966) as recorded by Phillip

Farnsworth, H. A. (? - ?)
Federer, Ralph West (1906 - 1971)
...it looks like he loved Vienna , at least 5 titles..