She got to the railway only to be told the train had gone中to be told为什么不用beng told

不定式也作结果状语，表达意料之外的结果，而现在分词表达意料之中的结果。
　　①She went to Shanghai specially to see her brother, only to find that he
had gone to Beijing a few days before.
　　她专程去上海看望她的兄弟，却发现他几天前去了北京。
　　②They got up very early that day, finding nobody in the station when they
got there.
　　那天他们很早就起床了，到了车站却发现那里空无一人。

不定式一般表示目的
但是这里的不定式表示转折递进关系
给你举个例子：
He lay down to fall asleep soon。他躺下不久后就入睡了

only to do 是个英语习惯用法，表示一个很意外的情况，有“没料到”的意思。

only to do 的意思是意外的怎样
only to be told 就是意外的被告知
这就是一般过去式的被动
而only to being told 是过去进行时的被动，这里没必要用过去进行时吧
她去火车站，意外的被告知，火车已经开走了。不是别人正在告诉他

She got to the railway only to be told the train had gone中to be told为什么不用beng told因为不定式only to be told the train had gone做结果状语.beng told是现在分词的被动形式,现在分词的被动形式表【动作...