In this Lyons family are cousins, with the census, marriage license and family info, I found that a possiblity of a relationship exist between Cornelious Lyons, Michael Lyons, Margaret Lyons and John Lyons as coming from the same family, although immigrated at different times they came to Columbus, Ohio.
Note Michael and Cornelius married women with the same last name, possibility they could be sisters.

Cornelius Lyons Jun 1821-Jul 9 1901 Immigrated 1864 from Ireland to the US
--+ Bridget Bresnahan
----1 Jeremiah 1854
------+ Mary ______ 1863-Jan 12,1888 Franklin County, Ohio
--------Cornelius 1885-Jan 25,1887 Franklin County, Ohio
----2 Cornelius 1855 Mass.
------+ Kate Dailey 1857 Ireland
--------Nellie 1878
--------Katherin 1880
----3 Mary 1855
----4 Michael July 1863 Boston,Mass.Oct 26,1926 Franklin County, Ohio
------+1 born Ireland
--------Bridget Oct 1884
--------Marie B 1886
------+2 Cora ?
------+3 Sarah M Soller Apr 17,1882 Zanesville, Ohio-Apr 10,1922 Franklin County, Ohio
---------David R
---------+ Lucille Blancum
---------Louise C
--------+ ? White
Michael Lyons Sept 1822 Ireland- after 1900
----------------77 yrs. in the 1900 Census
--+ Ellen Bresnahan 1830 Ireland-Aug 1875 Col., Ohio buried Mt. Calvary Cem.
----1 Mary 1853
------+ Michael Kinney/Kenney
----2 Margaret 1855
----3 Bridget Aug 15,1859 St. Joseph, MO-Jan 27,1935 Col., OH
------+Owen Davies Oct 6,1848 South Glamorgan, Swansea, Wales
---------------May 21,1919 Col., OH buried Mt. Calvary Cem.
---------immigrated 1852, Naturalized Oct. 8,1880
----------John
----------Clara
----------Eleanor
----------Agnes
----------Mary Josephine
----------Charles J
----------Marguerite
----------?
----------?
----4 Michael 1861-Feb 9, 1937 Col., Ohio
------+ ?
--------George
--------+ Bertha
Margaret Lyons Nov 1837 Ireland Immigrated 1883
--+________Quinn
----1 Edward Quinn
------+ Anne Franey May 1851
--------several unknown children
--------James R. Feb 1872
--------Lillian Aug 1882
--------Helen Dec 1885
----2 Margaret Quinn Mar 1866 Ireland
----3 Kathryn/Catherine Quinn May 1874 Ireland
------+ David J O'Reilly/Riley
--------Thomas J/E Apr 1893
--------John F Oct 1894
--------Joseph P May 1891-Feb 24,1982
--------+ Margaret ? 1897-Nov 14,1971
----------Joseph
----------Robert
OBITUARIES Sunday, April 4, 2004 NEWS 06B O'REILLY Robert Francis O'Reilly, 70, of Naples, FL died suddenly on Monday, March 29, 2004. He loved and excelled at his position as Vice President for EMC Paradigm of St. Paul, MN for 25 years. An avid golfer; he especially enjoyed playing with his family. Born January 29, 1934 in Columbus, Ohio. Preceded in death by loving wife Cappy, parents Joseph and Margaret, brother Joseph and sister Helen Murrin. Survived by daughter, Cynthia (Charles) Felice of Katy, TX; sons, Todd of Chicago, IL, Timothy of Minneapolis, MN, Tedmond (Mary) of Cedarburg, WI, Terrence (Pamela) of Wilmington, MA, Robert II (Nilda) of La Jolla, CA; grandchildren, Amanda, Christopher and Patrick Felice, Jacqueline, Brittany, Kyle, Meghan, Katherine and Ciara O'Reilly; sisters, Mary Catherine (Mel) Hawkins, Eileen; brother, David (Susie); father-in-law, Arthur Thompson; sister-In-law, Sandra Rossetti; and many other loving relatives. Mass of Christian Burial Monday, April 5, 2004 at 11 a.m. at Holy Family Catholic Church, 584 W. Broad St. Burial to follow at St. Joseph Cemetery. Visitation at EGAN-RYAN FUNERAL HOME, 403 E. Broad St. on Saturday, April 3, 2-5 p.m. and Sunday, April 4, 2-5 and 7-9 p.m., with prayer service at 8 p.m. Family requests memorials in his name be made to the American Cancer Society. ----------David
----------+ Susie
----------Helen -Jan16, 1996 Col., Ohio St. Joseph Cem.
----------+ Jack Murrin
----------Mary C
----------+ Mel Hawkins
----------Eileen
--------Margaret C Dec 1899
--------James 1903
--------Catherine 1905
--------Helen 1908
--------Mary Mag.
----4 Timothy Quinn May 1882 Ireland
------+ Emma Tritschle
--------Dorothy 1907
--------Lillian 1909
--------Helen
----5 John Quinn Jan 1869
--------m Apr 19 1894 Col., Ohio
------+ Elizabeth Weidle - May 1870
--------__
--------__
--------David/Daniel Oct 1897
----------m Florence M Riof?
--------Catherine 1901
--------Margaret 1902
--------Emmet 1905
--------Mary 1909
--------Paul 1912
--------Rita J 1917
John Lyons Ireland-
--+ Johanna ________ Oct 1831 Ireland-
-------------she immigrated 1892 w/daughter Anna
----1 Hannah L Lyons Jul 4 1857 Ireland-
------m. Oct 14 1908 Col., Ohio
------+ Daniel Sheehan Feb 1876-Mar 25 1937
--------Helen Marie Dec 6 1909
----------m Oct 14 1933 Col., Ohio
--------+ Frank Brawley Nov 29 1906
----2 Michael Lyons c1864 Ireland- Oct 16, 1926
------+ Johanna Clark
--------John George Jul 12 1903 Ohio
--------m. Jan 15 1929 Col., O
--------+ Bertha M Franz Dec 12 1906
----3 Mary J. Lyons May 1871 Ireland
------m. Apr 26, 1893 Col., Ohio, St. Patrick's
------+ John J O'Connor
--------Francis June 1894
--------John J Oct 1895
--------Mary E Jul 1897
--------+ Paul Kerrigan/Corrigan
----------Jack Anthony
----------+ Anne
------------Paul Thomas
----------Joseph Patrick
----------+ Mary B
--------Eunice Jul 1899
--------William E 1893?
--------James M 1904
--------Edward M 1907\