When a lead-acid battery is overcharged (charged beyond full capacity), the excess energy causes electrolysis of the water in the electrolyte rather than useful chemical charging. In electrolysis, reduction reactions (gain of electrons) occur at the cathode, and oxidation reactions (loss of electrons) occur at the anode. During charging, the negative plate acts as the cathode, where hydrogen ions (H⁺) from the electrolyte are reduced to hydrogen gas: \[ 2H^+ + 2e^- \rightarrow H_2 \uparrow. \] Let's check each option against this electrode assignment.
The electrode-reaction assignment during electrolysis confirms hydrogen is liberated at the negative plate.
Therefore, the correct answer is negative plate.