Final answer:
Lincoln emphasized the importance of preserving the Union and restoring peace when responding to the Southern peace delegation's claim that he preserved the Union through cannon fire death.
Step-by-step explanation:
When the Southern peace delegation told Lincoln that he had preserved the Union through 'cannon fire death,' Lincoln responded by emphasizing the importance of preserving the Union and restoring peace. He acknowledged the sacrifices made by both sides and expressed his desire for reconciliation. Lincoln believed that preserving the Union was essential for the growth and prosperity of the United States as a nation. He aimed to unite the divided country and move towards a peaceful resolution.