From the Orleans Parish GenWeb site, which is where New Orleans is -
August 1851 Admissions to Charity Hospital - Orleans Parish
Source: Family History Library Microfilm
25 August 1851
Ward: 30
Name: James Beacom
Birthplace: Fermanagh Co., Ireland
Age: 17
Last Place From: Liverpool
How Long in New Orleans: 2 months
Marital Status: Single
How Long Sick: 4 days
Disease: Remit Fever
Hour of Admission: 9
Remarks: (none listed)
This is the only reference I can find to the Beacom name in Orleans Parish.