多个表中的相同外键

I've seen posts on SO and through google stating that with Mysql you cannot have multiple foreign keys of the same name. My issue is how do I reference the same column from one table in multiple other tables. In my case I have a FAMILY table that contains FAM_ID. I want this to be a foreign key in my DOCUMENTS and CONTACT tables because rows in those have a relationship with FAM_ID. So if I understand what I've read correctly I need to name the column in DOCUMENTS and CONTACT different names (than FAM_ID) in order to have them map as a foreign key to FAM_ID in the FAMILY table. Am I just not understanding something or is this my only option? It seems like this would be a fairly common requirement of a data model.I've seen posts on SO and through google statin