The village lies five miles due north of York.
The hotel is about three miles due north from here.

就这两句而言，of 和 from 可以互换。

修饰关系：

1. The village lies  five miles due north of York.

north of York，复合介词短语作lies 的地点状语。

due 副词。“正（置于方位词前）”，修饰north。due north 正北方。

five miles 修饰 due north of York。

2. The hotel is about three miles due north from here.

north from here，复合介词短语作 is 的表语。

其他与上句作用相同，不再赘述。