Hi,
I pulled all the immigration records for New York arrivals the early 1850's for both a Timothy Farrell and a Thomas Farrell and then sorted them by arrival date. Only one "set" of Timothy and Thomas came up as a match to arriving on the same date. If I can find any info on John Farrell I'll let you know. Hope this helps,

Lewis
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Name: Timothy Farrell
Birth Year: abt 1828
Arrival Year: 1850
Arrival Place: New York, New York
Age: 22
Family Members: Relative Thos. 20
Source Publication Code: 2597.52.1
Primary Immigrant: Farrell, Timothy
Annotation: Date and port of arrival. Gender, occupation, port of embarkation, and name of ship are also provided. The remainder of this book will be indexed in future volumes of PILI.
Source Bibliography: GLAZIER, IRA A. AND MICHAEL TEPPER. The Famine Immigrants: Lists of Irish Immigrants Arriving at the Port of New York, 1846-1851. Vol. V (October 1849-May 1850). Baltimore: Genealogical Publishing Co., 1985. pp. 1-250.
Page: 210

Source Citation

Place: New York, New York; Year: 1850; Page Number: 210
Source Information

Ancestry.com. U.S. and Canada, Passenger and Immigration Lists Index, 1500s-1900s [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc, 2010.

Original data: Filby, P. William, ed. Passenger and Immigration Lists Index, 1500s-1900s. Farmington Hills, MI, USA: Gale Research, 2012.