Geordi,
You lost me. The lock won't stay on half-cock when you pull the trigger? It's not supposed to stay cocked or half-cocked when you pull the trigger. The hammer or cock is supposed to fall completely and hit the cap or strike the frizzen.
IF you mean you can't pull the hammer or cock to half-cock, yes you may have a broken sear. You may have a fly that has rusted into position covering the half-cock notch on the tumbler, OR you may have a buildup of crud, fowling, wood in the half-cock notch, or..., you may have a piece of wood that is pressing on the sear inside the lock, as though you were applying pressure on the trigger and the sear can't engage the notch.
Thoroughly clean the interior of the lock, and check where the wood contacts the interior lock parts, as well as checking the sear to see if the tip has been damaged.
LD