Fort Morgan Cay is about 1 hour away (50 min drive and 5 min boat ride) from Roatán International Airport.  The airport has a 7,500ft paved runway and is serviced by numerous commercial airlines including Taca, Continental, and Delta. Continental and Delta offer weekly direct flights from Houston and Atlanta, respectively. Taca has daily flights to Roatán from San Francisco, Los Angeles, Houston, Dallas, Miami, New York, Washington, Chicago, and Toronto through its hub in San Salvador. Local Honduran airlines Isleña and Sosa also offer daily service to Roatán from the other major cities in Honduras (Tegucigalpa, San Pedro Sula, and La Ceiba).
Roatan can also be reached via a ferry that runs twice a day from La Ceiba. You can visit their website below: http://safewaymaritime.com/index.php?l=en