Question: What was the height of the taller of the two Irishmen Patrick Cotter O'Brien and Charles Byrne ?

Context paragraphs:
Charles Byrne (giant): Charles Byrne (1761–1783) or "The Irish Giant", was a man regarded as a curiosity or freak in London in the 1780s.  Byrne's exact height is of some conjecture.  Some accounts refer to him as being 8 ft to 8 ft tall, but skeletal evidence places him at just over 7 ft .

Two Gallants (short story): "Two Gallants" is a short story by James Joyce published in his 1914 collection "Dubliners."  It tells the story of two Irishmen who are frustrated with their lack of achievement in life and rely on the exploitation of others to live.  Joyce considered the story to be one of the most important in "Dubliners."

Ulysses (1967 film): Ulysses is a 1967 British-American drama film loosely based on James Joyce's novel "Ulysses".  It concerns the meeting of two Irishmen, Leopold Bloom and Stephen Dedalus, in 1904 Dublin.

Patrick Cotter (Irish poet): Patrick Cotter is an Irish poet based in Cork city.  Born in 1963, he has published several collections of poetry.  He is currently the Artistic Director of the Munster Literature Centre.

1883 Brooklyn Grays season: The Brooklyn baseball club was formed in 1883 by real estate magnate and baseball enthusiast Charles Byrne who convinced his brother-in-law Joseph Doyle and casino operator Ferdinand Abell to start the team with him.  Byrne set up a grandstand on fifth avenue and named it Washington Park in honor of George Washington.  The team played in the minor Inter-State Association of Professional Baseball Clubs.

Cotter River System: The Cotter River System (CRS) is located in the Australian Capital Territory and was constructed in 1912.  A feature of the Namadgi National Park, the Cotter River System is one of two main sources for the Australian Capital Territory's water supply, the other being the Queanbeyan River located north of the Australian Capital Territory in New South Wales.  Nevertheless, the Cotter River System is a larger catchment area and due to recent drought conditions the Queanbeyan River has been seen as obsolete in comparison.

James Brady (SS): James Brady (born 20 May 1920, date of death unknown) was one of two Irishmen known to have served in the Waffen-SS during World War II.

The Giant, O'Brien: The Giant, O'Brien is a novel by Hilary Mantel, published in 1998.  It is a fictionalized account of Irish giant Charles Byrne (O'Brien) and Scottish surgeon John Hunter.

Patrick Cotter O'Brien: Patrick Cotter O'Brien (19 January 1760 – 8 September 1806) was the first of only seventeen people in medical history to stand at a verified height of eight feet (2.44 m) or more.  O'Brien was born in Kinsale, County Cork, Ireland.  His real name was Patrick Cotter and he adopted O'Brien as his stage name in the sideshow circus, claiming descent from the legendarily gigantic Brian Boru.  He was also known as the "Bristol Giant" and the "Irish Giant".  Another giant of this period, Charles Byrne, also claimed to be an O'Brien.

1884 Cleveland Blues season: The 1884 Cleveland Blues season was a season in American baseball.  It involved the Blues finishing the season at 35–72, seventh place in the National League.  After the season, the team was purchased by Charles Byrne for $10,000 and shut down, many of the players being added to Byrne's Brooklyn Grays team.

Supporting paragraphs: Patrick Cotter O'Brien Charles Byrne (giant)
Answer: eight feet (2.44 m) or more.