No such animal.

There were two Fifth Alabama units involved at Gettysburg. One was the Fifth Alabama Battalion, three companies assigned to Archer's Brigade of Heth's Division, Hill's Corps. Along with three companies of the 13th Alabama Regiment, this command made initial Confederate contact with Federal cavalry pickets on the morning of July 1st.

The Fifth Alabama Regiment, assigned to O'Neal's Brigade of Rodes's Division, is quite likely the unit mentioned in your query. Major Eugene Blackford of that regiment commanded the division sharpshooters, about 250 picked men representing each of the five brigades in Rodes's Division. A recent article about Gettysburg mentions the "5th Alabama Sharpshooters" but this is a misnomer. Col. Josephus Hall of the 5th Alabama filed a report describing his regiment's role in the battle; Blackford filed another for his corps of sharpshooters.

At one point in his report General Rodes speaks of Blackford and his corps of Alabama sharpshooters; in the next sentence he corrects himself by adding that sharpshooters from each brigade in his division were present. Blackford led an 'ad hoc' organization composed of men specially detailed for this service, about ten from each regiment. Each sharpshooter continued on roll with his original company.

There was never any oganization known as the 5th Alabama Sharpshooters.