I was just thinking, maybe Lydia always says "I'll do it my/a lonely" instead of "I'll do it myself" is because in German it would be "... aleine." which sounds kinda like alone.
Also, Lydia consistently says "Morning" to mean tomorrow. "Morning we will go to the zoo, mama." At first I thought she was using that word because when I try and put something off I will either say, we will do it in the Morning or we will do it Tomorrow. But I think it is more likely that she is applying the German word to English here. In German, the word "morgen" means both Morning and Tomorrow. So she translates it from German "morgen" to English "morning" when she really means Tomorrow.