Cross references:  Gnathostomes   Lamprey    
Agnatha (Wiki)
    "Agnatha (Greek, "no jaws") is a superclass of jawless fish in the phylum Chordata, subphylum Vertebrata. The group excludes all vertebrates with jaws, known as gnathostomes."
The oldest fossil agnathans appeared in the Cambrian, and two groups still survive today: the lampreys and the hagfish, with about 100 species in total.

File:Lampetra fluviatilis.jpg
n addition to the absence of jaws, modern agnathans are characterised by absence of paired fins; the presence of a notochord both in larvae and adults; and seven or more paired gill pouches. There is a light
sensitive pineal eye (homologous to the pineal gland in mammals). All living and most extinct Agnatha do not have an identifiable stomach or any appendages. Fertilization and development are both external. There is no parental care in the Agnatha class. The Agnatha are ectothermic or cold blooded, with a cartilaginous skeleton, and the heart contains 2 chambers.

Agnatha were prominent among the early fish in the early Paleozoic.

The brains of lampreys and hagfishes: characteristics, characters, and comparisons.
A comparison of the brains of lampreys and hagfishes is carried out in an attempt to reconstruct the anatomy of the brain of the last common ancestor of craniates: i.e., the morphotype of the craniate brain.  
    This brain consisted of tel-, di-, mes-, and rhombencephalic divisions; the presence of a metencephalic/cerebellar division is questionable. All major sensory and motor systems (with the possible exception of the oculomotor system) that are typical of craniates were present in the morphotype. There were extensive bilateral secondary olfactory projections to the telencephalic pallium, as well as bilateral retinofugal projections to diencephalic, pretectal, and tectal targets. The rhombencephalon was subdivided into dorsal (viscero- and somatosensory) and ventral (branchiomotor) zones.  
    The spinal cord projected to most rhomb- and mesencephalic areas; in turn, it received descending projections from the mes- and rhombencephalic reticular formation and from the octaval nuclei." 
My comment
    The spinal cord > reticular formation > spinal cord loop may be an example of initiation of behavior by the rhombencephalon.     

Evolution of the brain developmental plan: Insights from agnathans   
    Full length, 11 page PDF.