Colonel James Lewis Armstrong - Looking for the ship passenger list

Immigrant from Ireland 1722 or 1726 to Pennsylvania.

https://search.ancestry.com/cgi-bin/sse.dll?indiv=1&dbid=7486&a... shows
James Armstrong
in the U.S. and Canada, Passenger and Immigration Lists Index, 1500s-1900s

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Name: James Armstrong
Arrival year: 1722
Arrival Place: Pennsylvania
Primary Immigrant: Armstrong, James
Source Publication Code: 9450
Annotation: Published extracts from The Magazine of American Genealogy, section 4, nos. 1-27 (1929 - [1932]). Good compilation but incomplete, since publication of the magazine was suspended; it contains names from beginning of alphabet through 'Battles' only. Source
Source Bibliography: VIRKUS, FREDERICK A., editor. Immigrants to America before 1750. An Alphabetical List of Immigrants to the Colonies, before 1750, Compiled from Official and Other Records. Surnames 'A through Battles.' Baltimore: Genealogical Publishing Co., 1965. 220p.
Household Members:
Name Relation
James Armstrong

Source Citation
Place: Pennsylvania; Year: 1722; Page Number: 74

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.

This is James Armstrong 1722 so not ours:
http://www.allshousefamily.org/getperson.php?personID=P10366&tr...

The MyHeritage folks say 1726

FamilySearch shows 1728

"James is said to have come to America as an indentured servant in 1728"

James Lewis Armstrong, I's profile says HER emigrated in 1728 to Cumberland Valley Pa.

James Lewis Armstrong, I is the grandfather of this Colonel James Lewis Armstrong