Many people are unfamiliar with the term Presbyterian, so a brief explanation is provided here.
Titus 1:5-9 describes the qualifications of elder, and the Greek word used for elder in v. 5 is presbyteros, which is where we get the name Presbyterian.
Presbyterian simply refers to our form of church government, which is similar to that of the United States—a representative government. We elect ruling elders (REs) as spiritual leaders of the local body. We call men who are ordained to pastoral ministry teaching elders (TEs). Neither has more power or authority than the other. Within the church, we call this group of elders the Session.
Both ruling and teaching elders in a specific region gather together to make up a presbytery, where all have equal voice and vote. FPC Dyersburg is a member of Covenant Presbytery. All ruling and teaching elders within the denomination make up the General Assembly of the Presbyterian Church in America denomination (PCA).
No hierarchical structure exists among elders within local bodies, presbyteries, or General Assembly.