Whaley's have descended upon Long Island more than once.A branch of the South Carolina Whaley's came in the early 1900s, settling in Suffolk County.
After the 'The Late Unpleasantness' of the 1860s, much engineering and financial investment came from cotton milling interests in the New England area.Family members intertwined with business acquaintance families, and traveled back and forth, especially after the advent of the railroad.
In my research, I've found a significant cross-community between South Carolina's cotton milling industry and the Boston/Middlesex,MA Providence,RI, and Long Island,NY areas.
Some search hints:
1.Search the same terms [example 'Whaley Long Island'] on different days of the week and times.Some search engine servers and library resources may be off-line for maintenance, or links are broken occasionally.
2.Keep a HTML word document of your Google search terms in 'link' format, so all you have to do is click on each item in your list to search again.Come back a month later and check again.New digitizations are appearing online every day!
3.Add the word PDF and .DOC to your searches to find papers others have written.
4.Many PDFs put on line are purposely saved in "NOT SEARCHABLE" format.However Google books usually have the OCR function applied to a PDF, and will report content within.Use this tool to your advantage, noting page numbers reported, then go read inside the document. Don't be fooled by using the search function in your PDF reader and not finding anything.
5.Note that some PDF books that have been scanned do not have the same page numbers as shown on the page or index.Learn to correlate between the PDF page numbering and the actually printed Index and page numbers of the original book.
6.Not everything is online!Join a university library online, so you can search their material.Usually their search engines are tied into a library network.These purposely are not cut through to the public internet, just to keep from overloading their resources.There are hard to find books, kept in the reference stacks at major universities.Schools now have scanners available for use at no charge.Go scan pertinent pages to take home for further research and reference.The surprising thing to me, is that much information comes from a distance.University of Michigan and Standford Libraries have substantial digitized resources about South Carolina and New England.My first inclination is not to look in California for information about families in NY.My point is, look outside the area you're interested in.
There are several books and papers in PDF form that one can now find for free online, that give much insight into the wonderful Whaley's:
Other books found in libraries and the occasional used copies:
Barnwell: The Story of an American Family - 1969,Steven Barnwell
"Barnwell of South Carolina," The South Carolina Historical and Genealogical Magazine, Vol. 2, No. 1 (Jan. 1901):46-88. FHL Collection 975.7 B2s v. 2 (1901); digital version at JSTOR ($).
I can't underscore enough the vast resources of the Family History Library.A division of the LDS Family History Centers, the library has on microfilm, millions of records, which are available for viewing at a nominal cost of $5.00.You can request the films, and within a week or two they are available for viewing locally at your nearest FHC.
We have to remind ourselves, only a small fraction of what exists is online, and for that matter, indexed.
Hope some of this helps in your searches for the Whaley's, on LI and elsewhere.