It appears Jesse was actually born in Indiana according to this 1856 Census:
Iowa State Census Collection, 1836-1925 about Jesse D Bright Name: Jesse D Bright Birth Year: abt 1845 Birth Place: Indiana Gender: Male Census Date: 1856 Residence state: Iowa Residence County: Buchanan Locality: Washington Roll: IA_69 Line: 32 Family Number: 194 Household Members: Name Age David Bright 58b. 1798 VA; farmer Lucinda Bright52 -wife- b. 1804 KY M L Bright 20b. 1836 IN; farmer Margaret A Bright 17b. 1839 IN Mary C Bright 15b. 1841 IN Nancy Bright 13b. 1843 IN Jesse D Bright11b. 1845 IN **
Here he is in 1870:
1870 United States Federal Census about Jesse D Bright Name: Jesse D Bright Age in 1870: 22 Birth Year: abt 1848 Birthplace: Indiana Home in 1870: Washington, Buchanan, Iowa Race: White Gender: Male Post Office: Otterville Household Members: Name Age David Bright 72b. 1798 VA; farmer Lucinda Bright 67b. 1803 KY Jesse D Bright 22b. 1848 IN ** Jennie Bright 20b. 1850 IN Frank Bright 1/12 b. 1870 IN
I'm hoping Jennie is his wife, Nancy Jane, and Frank is their son.
This is probably his family in 1900:
1900 United States Federal Census about Jess L Bright Name: Jess L Bright [Jess D Bright] Age: 53 Birth Date: Jul 1846 Birthplace: Indiana Home in 1900: Walnut Grove, Knox, Nebraska [Knox] Race: White Gender: Male Relation to Head of House: Head Marital Status: Married Spouse's Name: Nancy J Bright Marriage Year: 1871 Years married: 29 Father's Birthplace: Ohio Mother's Birthplace: Ohio Household Members: Name Age Jess D Bright 53b. Jul 1846 IN, parents b. OH; Blacksmith Nancy J Bright 49 -wife- b. Oct 1850 IN, fath b. OH, moth b. VA Elsie J Bright 16 -dau- b. Feb 1884 Nebraska Myrtle C Bright 12 -dau- b. Aug 1887 Nebraska George O Bright 5-son- b. Sep 1894 Nebraska