Anton-P said:
May be we can apply here a principle that if there is nothing in anime contradicting the facts from manga we can accept such facts as true for anime also? E.g., we know from manga that Hotaru's mother name is Keiko and she is not named in anime. It seems reasonable to assume that her name in anime is Keiko too.
Given the sheer number of continuities (each musical, for example, is an independent continuity), we have to be careful how we apply this sort of thing. So I think it's always worth mentioning that, for example, Hotaru's mother was unnamed in the anime. Or that the anime never mentioned that Makoto's parents were dead (It's true! True, I say!).