Roberta e mailed me in 2012 saying she had visited the island in 2002 but had not done much research in the past 10 years. On that visit she went to the museum in Douglas. She was looking at old newspapers in the Archives to see if there was advertising for emigration schemes but found none. However, in the museum she did find two display boards with a bit about the emigration of people going to America from the IOM at that time.
Display data #1
The natives of the northern parishes of the island are again making arrangements to leave the place of their birth. On Wednesday last about fifty persons, principally young men arrived in this town from Andreas, Ballaugh etc. and the same night to their departure by the KING ORRY for Liverpool with the intention of emigrating to America where most of them already have friends or relatives…. No date or reference
Display data #2 U.S. for New York: The “Roses”, 2500 ton burthen, to sail from Liverpool on the 14th inst. Ships also dispatched for Philoadelphia on 12th of every month for New Orleans twice a month and Baltimore once a month.
For terms and passages apply to:
Thos. Cheshire, 27 North Quay, Douglas Apr 10, 1852

Her name at that time was Roberta Case Hluska.
Passenger list citation you seek from Ancestry is :
New Orleans, Passenger Lists, 1813-1963
M259 - New Orleans, 1820-1902
37
Joseph Arnold Corkill also did lots of research on the Corkills. Apparently the Yellow Fever epidemic in Corpus Christi where the family was headed was pretty grizzly.and after the parents died, the children were adopted by a Joseph Arnold. My connection is that the next family on the passenger list was that of my great grandfather’s brother’s future wife, Margaret Kermode who was the only survivor of that family the rest succumbing to Yellow Fever. Both families Corkills and Kermodes were good methodists.