I am unable to find any information on Dyer’s Battalion. And this is the only soldier I could find associated with that unit.

Starling/Sterling G. Harris Company A, Thirty-eighth Georgia Regiment
Following his wounding at the Battle of the Wilderness, he was transferred to the State Troops, being commissioned second lieutenant of Dyer’s battalion.

https://books.google.com/books?id=QewxAQAAMAAJ&pg=PA231&lpg=PA231&dq=Dyer's+Battalion+,+GA+State+Troops&source=bl&ots=PaWC8yBfFL&sig=XfaHjiyHDkzm5g6HeonM-PkTfz4&hl=en&sa=X&ved=0ahUKEwinpsH4msfRAhXCxlQKHUX6ABQQ6AEISzAI#v=onepage&q=Dyer's%20Battalion%20%2C%20GA%20State%20Troops&f=false page 231

What information do you have which references this unit?