When you do get around to shooting your Hawken, be sure to pick up the fired patches.
They will be 10-20 feet downrange, often a little to the side of the line of sight if any breeze is blowing.
These fired patches will tell you a lot about the condition of your barrel.
The outer edges will be tattered and frayed so don't worry if yours are.
The thing to look at is the ring where the ball was making contact with the bore and rifling.
If it is not cut or burned, your barrel is in great shape, regardless of the appearance of the bore.
If it has burned thru but doesn't look like it has localized cuts, it indicates the patch is too thin for the powder charge you are using.
Increasing the patch thickness and/or increasing the patch lube sometimes helps.
If the patch has localized cuts or rips where it contacted the bore it indicates the bore is rough or pitted.
The very center of the fired patch may look browned but if it is not burned your using enough patch lube and your powder charge isn't excessive.
(Note: 777 has a reputation for burning patches even though the material and lube is all right. If this happens when your using 777, reduce the size of your powder charge or use a different powder.)
I also need to mention, factory made pre-lubricated patches will become weak if they have been sitting on your gun-shops shelf for a long time. I've personally seen old pre-lubricated patches get blown to shreds even though they were the right thickness and shot in a perfect barrel with a light powder charge.
Use un-lubricated patches and apply your own patch lube.