这就是“独立主格”结构.
her tears主格
gushing from her eyes现在分词,表示主动、进行.
这个结构在句中充当伴随状语,相当于一个次要动作的.
可以写成：
The neighbor suddenly choked with sobs,and her tears were gushing from her eyes.
邻居突然哽咽起来,她的眼泪从眼中涌出.