Re: to get the train.
To "get" could be to "catch." To get on board and ride it.
To "take" means to travel by.
In some situations, you could get somewhere faster by driving than by train. (Especially the ones that make a lot of stops.) She was too late to take the train = She left so late that she would not have been on time if she took that slow train. She had to drive instead. It could also mean that she was simply too late to get to the train station to get/catch the train.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.