She had her luggage taken at the train station.

had 是动词 have 的过去式，在这里构成"have sth done"结构，表示"让某事被做"或"某事被完成"。 her luggage 中，her 是形容词性物主代词"她的"，luggage 是不可数名词，指"行李"。 had her luggage taken 这个结构表示"她的行李被人拿走了"，强调行李被动地被拿走的事实。