There is a label on the handle with my name and address on it

问题描述:

There is a label on the handle with my name and address on it
address on it是状语?address前面是不是省略了一个介词?

with my name and address on it这个整个是状语
address前面并没有省略什么介词,只是和name并列,我的名字和(我的)地址