Question: I know Rav Eliezer was one, but do we know other members of Beth Shammai?

Answer: 
There is no record of the membership of Beis Shammai, or Beis Hillel for that matter. The Babylonian Talmud tells us a bit about Beis Hillel -- e.g. [Sukkos 28a](http://hebrewbooks.org/shas.aspx?mesechta=7&daf=28&format=pdf) and [Bava Basra 134a](http://hebrewbooks.org/shas.aspx?mesechta=23&daf=134&format=pdf) record the number of Hillel's disciples as 80 (see also Yeurshalmi Talmud, Nedarim 39b), and both sources mention two of them by name, Yonasan ben Uzziel and Yochanan ben Zakkai, identified as the greatest and least of Hillel's students, respectively. Rabban Gamliel HaZaken, the Av Beis din in the period prior to the Temple's destruction, and a grandson of Hille, would be presumably in the ranks of Beis Hillel, although he is frequently cited by his own name. No such traditions are recorded of the members of Beis Shammai. We do know three names of the Shammaites -- Baba ben Buṭa ([Betzah 20a](http://hebrewbooks.org/shas.aspx?mesechta=8&daf=20&format=pdf)), Dositai of Kefar Yetma (Mishna [Orlah 2:5](http://he.wikisource.org/wiki/%D7%9E%D7%A9%D7%A0%D7%94_%D7%A2%D7%A8%D7%9C%D7%94_%D7%91_%D7%94)), and Tzadok (Tosef., Mishna Edyos 2:2); but the Talmud mentions them only because they voted to uphold the views of Beis Hillel in contradiction to their own school.
Bava Ben Buta was a student of Beis Shammai, however he accepted the ruling of Beis Hillel 

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> והיה שם זקן אחד מתלמידי שמאי הזקן ובבא בן בוטא שמו
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([Beitzah 20a](http://hebrewbooks.org/shas.aspx?mesechta=8&daf=20&format=pdf))