To get to the cerulean cape you go north on the bridge and head east. You'll have to battle 5-7 trainers on the way. When you get to the end you'll met misty and some other guy, misty will then go back to the gym. After the gym if you have chased suicune enough it will be where you met misty. =)
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The cape you might be talking about is Cerulean Cape, which is north of Cerulean City. Follow the orange and white bridge north from Cerulean to get to the Cerulean cape. The shady guy will first be on that bridge, and then north to the actual cape itself.
Right next to the Cerulean Cape, north of Cerulean City. It's the only house north of Cerulean City, so it's pretty easy to spot out.
in cerulean cave
Cerulean Cave
you catch it in cerulean cave