Thanks for all of the replies to date.
The family tree (complied in the 1970s) has been mostly accurate. Considering the time consuming nature of microfilm research and gathering scraps of oral history the person who put it together got most of the information correct. I often referred to it as the McManus Rosetta Stone since it has revealed a much more extensive family tree than I could has discovered on my own.
I have been able to find the Baptismal Record of John Mcmanus at rootsireland.ie. He appears to be the first born child of John (Mc)Manus and Ann McDowell who lived on New Road, Tullaskeagh Roscrea, Co. Tippery.
Date of Birth: 5 February 1939. Father - John Manus, Mother - Ann McDoole, Sponsors - Thos Huges & Jane Cooper, Roman Catholic, Priest - J.O
The family's surname was sometimes spelled with "Mc" or without. The recorder of the baptism record misspelled the mother's surname (it should be McDowell - not McDoole).
It appears that the majority of the McManus children first worked in Leeds and later left for Brooklyn and Philadelphia with their spouses and children. I have been able to confirm this with marriage records and the baptism records of their children.
Two of the McManus boys settled in New York City:
James McManus (1846-1888) - Immigrated 1875-1880
Joseph McManus (1860-1922)
Three of the McManus girls and one boy settled in Philadelphia:
Catherine McManus Delany (1841-1899)
Johanna McManus Lawlor (1853-1937)
Mary Ellen McManus (1856-1932) - Immigrated 1885-87
Jeremiah McManus (1861-1930) - Immigrated 1890-1900
Another daughter - Eliza McManus Searson (1850-1897) - Settled in Manchester with her family.
I discover a Margaret McManus (not on the handwritten family tree) who was born in 1843 to John and Ann McManus but disappears from the record. I suspected she may have died as a child.
Ancestry.com doesn't appear to hold the Marine Register of British Deaths at Sea - please let me know if I am wrong about that. Based on the dates of when the other children immigrated I would guess that he immigrated (probably to the U.S.) - sometime in the late 1870s or early to mid-1880s.
I am including a portion of the handwritten family tree along with the key. The entire tree is too large to include. Sorry about the clarity of the image.