There are several things that determine the weight of pull. Some can be modified and others cannot. The distance between the pivot point on the trigger and the point of contact with the sear has a major effect and cannot reasonably be altered.
The following are also determining factors that can be adjusted:
Does the trigger move smoothly when the lock is removed? If not, find and correct whatever is causing the problem.
The smoothness of the top of the trigger bar and the bottom of the sear bar can have an effect on how smooth the pull is. If the trigger pull feels like dragging two files together (exaggeration here) stoning those areas might improve the situation if they are somewhat rough.
The angles of the sear tip and full #### notch in the tumbler have a major effect on trigger pull - and safety. Too much one way leads to a hard trigger pull and too much the other way leads to safety issues. The mating surfaces need to be smooth and the angles need to be right. This is a job for someone who knows what they are doing.
The depth of the full #### notch in the tumbler has an effect on length of pull and creep, but I doubt it would have a significant effect on weight. The notch needs to be deep enough to fully engage the sear with a reasonable safety factor. How's that for wishy-washy? If the sear sits way down in a deep notch, the trigger needs to drag it up across the notch to release - which is often felt as creep. There are several ways to address an overly deep notch but, again, this is a job for someone who knows what they are doing.
The strength of the sear spring has a major effect on weight of trigger pull and could well be your problem. In my opinion, some locks, and particularly military locks, have overly heavy sear springs. Trigger pull would likely be reduced by installing a lighter sear spring or stoning the one in the lock. Out of an abundance of caution, I don't think I would mess with the sear spring in the Parker Hale lock. I would likely obtain a replacement and work on it - if needed. It is important that the sear spring remain strong enough to reliably hold the sear in the full #### notch.
Just my two cents worth. Hope it helps.
Forgot to mention - The sear could also be binding. Does it move freely with the sear spring removed? If not, find and correct.
Also, make sure the sear is not contacting wood. Put some transfer color on the sear, install the lock, go through cocking and releasing, disassemble and look for transfer color on wood.