On June 4, 1993, at approximately 1755 central daylight time, a Taylorcraft BC12-D, N96984, was substantially damaged when it struck a fence during landing at the municipal airport in Ozona, Texas. The airplane, owned and operated by the commercial pilot, was landing after a personal flight from Houston, Texas. There was a VFR flight plan filed and visual meteorological conditions prevailed throughout the area. The pilot, the sole occupant, was not injured. The pilot stated that he made a low pass down the runway and the wind sock was indicating calm conditions. He subsequently landed on runway 34. He stated that after touchdown, he noticed that the left wing was lower than the right and the airplane veered left off of the runway and collided with a fence. He further stated that he did not notice any mechanical failures or malfunctions. After he got out of the airplane, the pilot noticed that the windsock was indicating a cross wind out of the east at about 12 knots. Two individuals at the airport reported to him that the wind had shifted just prior to the landing.