Biblical names are full of meaning, and are often prophetic. There were times when people named their offspring, and then the Lord would give them a new name to reflect their true destiny. When we name our ministries, it is important to seek the Lord's instruction.
If you are a dance ministry that ministers primarily at your home church, this does not automatically mean that you should be named "ABC Church Dance Ministry." Remember: names are prophetic, so if you are named after a church building, then in essence, you are saying that you will only dance inside of those four walls...
We are all fearfully and wonderfully made in Him. If the Lord has chosen us to minister before His people, He will give us a name that speaks to our assignment as a ministry. We should never feel that it's too late to start again.
What's in a name? Prophecy, purpose, and proclamation.
[The Redeemer of Israel] But now, thus says the LORD, who created you, O Jacob, and He who formed you, O Israel: “Fear not, for I have redeemed you; I have called you by your name; You are Mine.