Laura
Have continued search for ancestry Catherine Cassady who married Edward White in Morgan County, 1845.

Have not found that link, but have collected considerable information on Hugh and Judith Cassady, as follows.

Hope some of it is helpful in your search.

1860 census of McConnelsville Ohio shows Anna(Hamilton), her husband John White(son of Edward and Catherine Cassady White), and a daughter Martha in the household of a Judith Cassady. Judith could have been mother, sister-in-law or other kin of Catherine Cassady.
Judith Cassady, age 57, born PA
son, George Cassady, age 25, born Ohio
John W. White, born 1839, Ohio
wife, Anna, born 1842, Ohio

daughter, Martha, born Ohio, age 8/12

For reference:
1850 Morgan County, Judith Cassady, b 48, b PA, Daniel, 22, Margaret, 20, Caroline, 17, George, 15, Sarah, 13, all born OH.

1870 Morgan County Ohio, Judith Casedy, 65, b PA, Anna V Ridgley, 18, lives with grandmother. Same page, George Casedy, 35, b OH, wife, Rebecca, 25, b OH.

Relative info on Morgan County Ohio(MCO)Cassady’s from Nadine Heppell, Rootsweb postings, and census:
About children of Judith Cassady:

Cassady, Daniel, no marriage record found, could not find Daniel in 1860 census

Cassady, Margaret & John B. Dunaway m. 17 Oct 1850

Cassady, Caroline & Alfred L. Rigley(Ridgley?) by J.W. Baker m. 27 May 1851
Anna Ridgley, 18, was in household of Judith Casedy in 1870, granddaughter
No Dunaway listed in MCO cemetery
Ridgley, Alvie, May 9, 1883-Apr 24, 1887. There are a total of 9 listings for the surname Ridgley in this cemetery.

Cassady, George A. & Rebecca Richardson by W.W. Grimes 27 April 1861
1860 Morgan County OH, V. Richardson, 55, b PA, miller, children all born OH, John, 20, Hannah, 18, Rebecca, 15, Joseph, 12, Edward, 10, Samuel, 8, Mary Ann, 5
1880 Morgan County OH, George Casedy, 45, b OH, parents b PA, Rebecca, 34, b OH, parents b PA/OH, Estella m, 2, b OH, Amos Richardson, 17(or 87?), b OH, parents PA/OH.
MCO Births: Casiday (sic), Stella M. b. 14 Jan 1878 McConnelsville, Morgan Co, OH. Parents: Geo. M. Cassiday (sic) & Rebecca Richardson. Reported by father.
MCO deaths: Casdey, George A. d. 29 Aug 1897 McConnelsville. Age: 48y 10m 23d. Born: Ohio. Occupation: none. Cause of death: cystitis. Residence: McConnelsville.
Cemetery, Casedy (sic), John W. - no dates. Notes: Section B Row 29
MCO history: George A. Casedy is listed as a private, Co H, 17th Regiment, Ohio Volunteer Infantry (Civil War), Page 201: George A. Casedy is listed as a private, Company C, 97th O.V.I. Enlisted July 25, 1862, as sergt.; discharged from Co., July 31, 1863

Cassady, Sarah E. & Westward M. Longley 5 April 1862
Rootsweb postings on Westward Longley; married Sarah E Casedy, b 1837, OH. Parents FNU Casedy, b ~1802, MD and Judith Casedy, b ~1802, PA. Indicates Judith Cassady 1st married Abraham Squires. One of the children of Westward Longley and Sarah Casedy was named Hugh Cassedy Longley.
McConnelsville Cemetery burial: Longley, Wesley [sic] M. Co. C 91 (Veteran 61-65)

Other Cassady records in MCO:
Cassady, Martha J. & John Kinney 18 July 1866

McConnelsvile MCO Cemetery:
Casedy, Nancy J. - no dates. Notes: Section B Row 2
Casedy, Hugh, War of 1812 d. 1850 age 55. No notes re section & row
1840 McConnelsville, Morgan County Ohio, Hugh Cassady, males 1 5-10, 2 10-15, 1 15-20, 1 40-50, females 1<5, 2 5-10, 1 40-50

History of Morgan County, OH C. 1886 by Charles Robertson, MD, Pg. 302: Hugh Cassidy is named as an assessor in McConnelsville in 1844.
One of the children of Westward Longley and Sarah Casedy was named Hugh Cassedy Longley. Seems possible that Judith Casedy may have been wife of Hugh Cassidy.
1840 census of McConelsville, Morgan county: Hugh Casady, males, 5-10,1, 10-15, 2, 15-20, 1 40-50, 1, females, <5, 1, 5-10, 2, 40-50, 1. The ages match well with 1850 census of MCO for Judith Cassady. next door, Lowry Cochran, near by, W H Bozman, John Bozman, Wm J Wilson
LDS posting shows Hugh Cassedy , b Jan 1795, died April, 1850, Morgan County Ohio, buried McConnelsville, spouse Judith(B 1824(?), PA (source Laura Hughes)
Marriages in Morgan Co, OH Vol B Feb 11, 1841-Nov 1853, c. Oct 1984 by the Morgan Co Gen/Hx Society, pg. 10:
Cassady, William & Mary Ann Donald by Jno Lansley m. 6 Nov 1846

1850 census of Morgan County OH: William Cassidy, 23, b PA, moulder, Mary, 20, b OH, Martha J, 2, b OH, Charles W, 1, b OH, Duranda Clark, 19, b PA, Robert Clark, 26, b VA, cooper

Still possible that Hugh and Judith Cassady are parents of Catherine Cassady who married Edward White, although only 3 daughters of Hugh Cassidy in 1840 census.