Granbury, Texas was named after General Hiram Bronson Granbury, which is sometimes spelled Granberry. His life spanned March 1, 1831 – November 30, 1864, passing away at the young age of 33 years. Per Wikipedia, he was a lawyer and country judge in Texas who later organized a volunteer company for the Confederate army and became its captain. He later was promoted to brigadier general and was one of the almost 2,000 soldiers that died at the Battle of Franklin on November 30, 1864.
From what I’ve read, Granbury was buried near Franklin, Tennessee, where he died, and later re-interred at a different cemetery. Finally in November 30, 1893 (on what would have been his 62nd birthday) he was again re-interred in the city of Granbury, Texas, seat of Hood County, as the town was named in his honor. Although he was as close as Waco, Texas, I’m not finding anything to suggest that he was ever in his name sake city.
The statue which features Granbury in military garb and a confederate flag was erected in 1913. The statue was important from Italy and the base was created by Waxachachie monument maker, James Youngblood.