Grant continued to March towards Richmond after the battle of __

 The Wilderness

Explanation:

The Battle of the Wilderness (1864) had Grant´s Union Fifth Corps fighting against Lee's Confederate troops for three days. Although it ended in a tactical draw, the North´s troops lost many more soldiers than the South´s. Unlike his predecessors who had retreated in similar situations, Grant ordered to go on toward Richmond, where Lee´s troops were aware of them coming.

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idk if you found them already or not but you probably did but the one closer to sea level is raleigh.