Concept:
Purab Anga Thumri is a style of Thumri mainly associated with the eastern region, especially Banaras and nearby cultural centres.
It is known for emotional expression, lyrical beauty, and graceful treatment of words.
Step 1: Check Rasoolan Bai.
Rasoolan Bai was a famous Thumri singer of the Purab Anga tradition.
\[
B \Rightarrow \text{Correct}
\]
Step 2: Check Siddheshwari Devi.
Siddheshwari Devi was also a great exponent of Purab Anga Thumri.
\[
C \Rightarrow \text{Correct}
\]
Step 3: Check Girija Devi.
Girija Devi is one of the most respected names of Banaras and Purab Anga Thumri.
\[
E \Rightarrow \text{Correct}
\]
Step 4: Check remaining artists.
M. S. Subbulakshmi is mainly associated with Carnatic music.
Bade Ghulam Ali Khan is connected with another style of Thumri, not the Purab Anga group in this question.
Step 5: Final conclusion.
The Purab Anga Thumri artists are:
\[
B,\ C,\ E
\]
Hence:
\[
\boxed{\text{(C) B, C, E only}}
\]