Unfortunatley you will not find wireless internet at Old Key West. The only locations that have wireless are the convention resorts:
Requirements: Requires a wireless interface card (WIC), available for purchase in the resort's business center.
Price: $4.99 for the first 60 minutes or $9.95 for 24 contiguous hours
Billing: Smart City will bill you using a secure credit card transaction via the on-screen Internet connection.
Locations include:
Disney's BoardWalk Resort, Convention Center Hallways/Common Areas
Resort Lobby, Main Swimming Pool Area, Concierge Lounges, Bellevue Lounge
Disney's Contemporary Resort, Front desk sitting area, 14th Floor Concierge - sitting area, Outer Rim Bar (near Concourse Steakhouse)
1st Floor Convention Center Lobby, 2nd Floor Convention Center Lobby,
Feature Pool
Disney's Coronado Springs Resort, Main Hotel Lobby, Convention Center Lobby area, Feature Pool, Francisco's Lounge
Disney's Grand Floridian Resort & Spa, 1st Floor Lobby area including Tea Room, Convention Center Lobby area, 4th Floor Concierge area - sitting area
Disney's Yacht & Beach Club Resorts, Main Lobby area (both resorts)
Concierge sitting area (both resorts), Convention Center Lobby area,
Stormalong Bay Pool
At OKW, You will have access to in room dial up (.75cents a minute) and Highspeed internet access for $9.95 for a 24 hour period (from the minute you sign on through 24 hours). You will need an ethernet cable which is provided free of charge through housekeeping if you don't have one.