Interesting, but now it gets complicated. The records definitively state that the David Crenshaw Barrow who became Collector of Customs for the port of Savannah had previously been employed with the law firm of Barrow & Osborne. But I think now that he may have been a junior within the firm and the “Barrow” name on (both sides of) the plate actually refers to his elder brother, Pope Barrow, born in 1868.
Both were sons of Middleton Pope Barrow (sr.), known just as “Pope Barrow”. He was born in 1839, graduated from the School of Law in Athens, Georgia in 1860, was admitted to the bar that same year, and then commenced practice in Athens. He went on to become a member of the State House of Representatives (1880-1881) and then a US Senator (1882-1883).
It looks like at least two of his sons also pursued careers in law. Among his eight children were Middleton Pope Barrow (jr.) also just known as “Pope Barrow” and probably the person referred to on the name plate; and David Crenshaw Barrow (III), Pope’s younger brother who qualified later and probably then joined the existing business as a junior before furthering his career as a Customs official.
[There's also the possibility that the "Pope Barrow" referred to could be the father and David Crenshaw Barrow was then a junior in his father's business, but that side of the sign would then need to have been engraved pre-1880 and relate to Athens, not Savannah]