So as a Baptist - as most, The NABC doctrine statement says in part:
" Each church is a self-governing body under the lordship of Christ with all members sharing responsibility (Acts 13:1–3; 14:26–28). The form of government is understood to be congregational"
Thus your local church is congregational - no group has any authority, which would include the NABC and the GLBA ! The most they can do offically is to withdraw fellowship.
Granted, they can recommend action to your local church - whether the Leadership accepts the recommendation is up to your church.
Now, if you were Methodist, Lutheran, ect - that would be a totally different story.
As I stated before the denomination at a minimum then should report such verified action to the local govt authorities.