The battery in the iPod touch was discharging within minutes of operation.
After opening the case I notice that the three battery wires where not only soldered to the board but was also held in place with what looked like hot glue. I decided not to disassemble the unit and cut the wires to the old battery. After stripping a small amount of insulation from the wires, I shortened the wires of the new battery and spliced them with the wires still attach to the iPod. I insulated the splices with hot shrink tubing. I snapped the back in place and charge the new battery. Everything is working as it should. By not disassembling to unsolder the wires I reduced the risk of damaging the unit and reduced repair time.
Upon opening the case the WiFi antenna fell out. Be careful not to lose or damage this part.
The battery is glued to the back of the display. Be careful not to damage the fine ribbon cables running underneath the battery when plying up the battery. I plied up one side and then then pulled the old battery off by hand.