An Ancestral File had Leah Quinn as Hazard Park's wife with his birth on 14 June 1813 at Union Co., PA and his death 12 April 1883 in IA. Marriage to Leah 30 Sep 1839. His father Thomas Parks married Elizabeth Link.
1870 US Census has H Parks, 57y b. 1813 PA in IA with wife, Leah D, 54y b. PA. Lavida C. 28y, D. H. son 26y, Thos J 24y Newton B. 22y, Elizabeth 20y, Andrew J. 18y, Almira L. 16, all born in OH. Samuel B. 9y b. IA.
1880 US Census has Hasard Parks 67y, b. PA with wife, Della b. PA 65y, daughter Lucy 35y, son David 33, son Thomas J. and daughter Anna 28, all adult children born in Ohio. Census taken at Des Moines, Polk, IA.
The 1850 US Census has Hazzard in Plain, Franklin, OH b. PA 37y, wife Leah D. and six children born in OH.
I did not find parents of Thomas Parks, but you might find they by searching Thomas Parks married to Elizabeth Link at familysearch.org