Application for a Z-visa

Dear Sirs, just wanted to clarify what is applicable in the following case: I am ready to apply for Z-visa as I live and work in Shenzhen since recently. I currently hold an F-visa. My family (my 10-mnth baby and his mother) are here on an L-visa. As we are not married yet, what evidence is required in order to include my partner and my baby to the family arrangements for residence permit??