A couple of observations, if I may.
First, church fellowship is a covenant relationship with each other and with the Lord Jesus Christ. Covenants involve commitments from all parties to the covenant. Those commitments should not be treated lightly.
There are practical reasons for maintaining a list of members. Names, phone numbers, and other information can be quite useful. For mailing lists, for instance.
There is something vaguely disturbing to me about those who are willing to attend your church regularly, even do stuff around the church, but are not willing to be baptized, nor ask the church to receive them into the fellowship. And there is something quite disturbing about a church that thinks so little of itself that it'll permit that.
Salty, the title of this thread is quite applicable here. Living together, but no commitment on either side. And no ring.