"We have no idea about the track record of this pharmacy," Taylor's attorney, John Simon, said.
Taylor, 47, and Roderick Nunley were convicted of abducting, raping and killing the 15-year-old girl in Kansas City in 1989.
Ann Harrison was waiting for the school bus on the morning of March 22, 1989, when Nunley and Taylor, then in their early 20s, drove past in a car they had stolen after a night while binging on crack cocaine.
One of the men jumped out of the car and grabbed Ann, forcing her into the vehicle. Both have claimed the other did it.
The men drove to the home of Nunley's mother. Ann was forced into the basement and raped - DNA testing linked Taylor. Afraid she would be able to identify them, the men used kitchen knives to stab the girl repeatedly, even as Ann begged for her life and offered money if they would let her live. She died about 30 minutes later.
Taylor and Nunley put her in the trunk of the stolen car, abandoned the car in a neighborhood then walked away.
The body was found three days later. A $10,000 reward led to a tip, and Taylor and Nunley were both arrested. Both pleaded guilty and were sentenced to death in 1991. After their sentences were overturned, they were again sentenced to death in 1994.
Missouri could be on pace for a record number of executions in 2014. Last week, the Missouri Supreme Court set a March 26 execution date for Jeffrey Ferguson, convicted of abducting, raping and killing a 17-year-old girl in St. Charles 25 years ago.
Several other inmates on death row have also exhausted all but last-minute court appeals and could soon face execution.