Though Lin Qiaozhi never married，she was known as the “mother of ten thousand babies”，having delivered over 50，000 babies in her lifetime.,
虽然林巧稚从未结婚，她却被称为“一万个孩子的妈妈”，一生中接生了5万多个孩子。
(1)句式分析：这是一个主从复合句。主句是she was known as the “mother of ten thousand babies”，前面是though引导的让步状语从句。having delivered...是动词ing形式的完成形式，在句中作状语。
(2)动词ing 形式的完成式主要表示发生在谓语动作之前的动作，常用作状语，一般不能作后置定语，但可作非限制性的后置定语。
This question, having been discussed for more than 2 years, has now been solved.
讨论了两年多的这个问题现在已经解决了。(定语)
I was unable to accept your invitation, having promised to accompany my mother to the concert.
我因已答应陪我母亲去音乐会而不能接受你的邀请。(原因状语)
Having finished the letter, he folded it and put it into the envelope.
写完信后，他把信折起来装进了信封。(时间状语)