Approver Comments:
You have definitely found a possible match; however, I am marking it "possible" because the Lodz Ghetto Database also lists following other entries which may correspond to the student who signed the album:
Tania Ehrlich born December 23, 1926
Tauba Erlich born September 4, 1926 [address=Krauter 41 1; occupation=student]
Toba Erlich born in 1922
Until we find another source of data to narrow down the possibilities, we cannot know which one signed the album "T. Erlich."