谓语后可直接加非谓语吗?my mother came runing into room to find what had

1.小错误.runing的正确写法应该是running
2.running into room to find what had happened表示伴随状态,与前面的came应该用逗号分开.
3.个人看法,这个句子给我的语感是母亲到来的目的是想确定发生什么事情,在此表伴随的意思非常的模糊,不太适合这样去表达.
my mother came and ran into room to find what had happened.
or
my mother came to run into room to find what happened.个人觉得这2句好过上面的句子.

came和runing中间应该加个逗号，runing into room to find what had happened 做伴随状语。

不对，删了running

对