The others signees were all pitchers: 10th-round right-hander Pat Ludwig, 12th-round left-hander Dalton Friend, 13th-round left-hander Thomas Harlan, 20th-round right-hander Kyle Haynes, 23rd-round right-hander Lance Breedlove and 25th-round left-hander Josh Smith.
After signing catcher Wyatt Mathisen on Monday, the Pirates have now locked up nine members of their 2012 Draft class.
Wood, who hit .326 with five home runs and 44 RBIs this season at Blinn College in Texas, will start his career with the GCL Pirates, the team's Rookie level affiliate.
The other seven -- including Stallings, who hit .297 with four homers and 36 RBIs at the University of North Carolina last season -- are slated to start with the State College Spikes, the Pirates' short-season Class A affiliate.
Both the GCL Pirates and Spikes are scheduled to begin their seasons on Monday.