Joshua was the son of Joel Bradford and Milley(Millie) Loveland.
The couple lived in Windham, Portage, Ohio when he was born.
He was the couples Twelfth child. He was born between Marvin and Joel Bradford Jr. The couple had possibly fourteen known children. Joshua's siblings were, Amos, Jemima(1808?), Elizur(1810?), Milley, Cynthia(1810?), Julia(1816?), Candace(1820?), Joel(1834?), Junia(1922?), Edwin1812?), Ezra(1827?), and Marvin(1829?).
Other possible siblings(Family researching) were;
Elijah?(1814?), Martha?(1825?), & Henry S.?(1836?)

Joshua married Rachel Lavisa DEBOLT, daughter of Andrew DEBOLT and Rachel SMITH, on 1 May 1856 in Union City, Randolph, Indiana, USA
Rachel Lavisa DEBOLT was born on 22 Sep 1834 in , , Indiana, USA.,
and died on 13 Apr 1915 in Richland, Baker,

Joshua and Rachel children were;
Mary Jane Bradford'(1853-1929) md Childers
William Henry Bradford(1858-)
David Joshua Bradford(1861-1949)
Emma Louisa/Louise Bradford(1862-1945) md1 Thompson md2 Olson
Franklin (Frank) E. Bradford(1864-1920)
Joseph Bradford(1865-1954)
Nathan Bradford
Isaac Newton Bradford(1871-)
Anna Bradford(1873-1873)
Richard Bradford
Daniel Bradford(1873-)
The Unknown infant buried in Union, Union County, Oregon may very well be Anna Bradford(1873-1873), headstone has no dates and simply reads(Child of Joshua).

Wounded in the Battle of Shiloh on the 6th day of April 1862 in His right leg
Below his knee.
Discharge Company "A" 12th, Michigan Volunteers, August 25th, 1862.

A bit of History of the;

12th Regiment Infantry

Organized at Niles, Dowagiac and Buchanan, Mich., December 9, 1861, to March 1, 1862. Mustered in March 5, 1862. Left State for St. Louis, Mo., March 5, thence moved to Pittsburg Landing, Tenn. Attached to 1st Brigade, 6th Division, Army of the Tennessee, April, 1862. 1st Brigade, 1st Division, Army Tennessee, to July, 1862. 1st Brigade, 1st Division, District of Jackson, Tenn., to November, 1862. Unattached, District of Jackson, 13th Army Corps (Old), Dept. of the Tennessee, to December, 1862. Post of Bolivar, District of Jackson, 16th Army Corps, to March, 1863. 1st Brigade, 3rd Division, 16th Army Corps, to May, 1863. 1st Brigade, Kimball's Provisional Division, 13th Army Corps, to July, 1863. 1st Brigade, Kimball's Provisional Division, District of Eastern Arkansas, to August, 1863. 1st Brigade, 2nd Division, Arkansas Expedition, to November, 1863. 3rd Brigade, 2nd Division, Army of Arkansas, to January, 1864. 3rd Brigade, 2nd Division, 7th Army Corps, Dept. of Arkansas, to May, 1864. 1st Brigade, 2nd Division, 7th Army Corps, to July, 1865. Dept. of Arkansas to February, 1866.

SERVICE.--Battle of Shiloh, Tenn., April 6-7, 1862. Advance on and siege of Corinth, Miss., April 29-May 30. Pursuit to Booneville June 1-6. Moved to Bethel June 5, thence to Jackson, Tenn., June 13, and duty there until August. At Bolivar until November. Guard duty along Mississippi Central Railroad from Hickory Valley to near Bolivar with Headquarters at Middleburg, Tenn., until May, 1863. Action at Middleburg December 24, 1862. Regiment complimented by General Grant in General Order No. 3 for gallant and efficient services on successfully defending their post against a force of 3,000 Confederates under Van Dorn. Moved to Memphis, Tenn., thence to Vicksburg, Miss., May 31-June 3, 1863. Siege of Vicksburg, Miss., June 4-July 4. Surrender of Vicksburg July 4. Moved to Helena, Ark., July 25-27, thence to Clarendon August 13, and to Duvall's Bluff August 22. Steele's Expedition to Little Rock September 1-10. Engagement at Bayou Fourche and capture of Little Rock September 10. Duty at Little Rock until January 14, 1864. Veterans on furlough until February 21. March to Pine Bluff April 26-28. Train guard to Steele's army until April 30. Duty at Little Rock until June 22. Operations against Shelby north of the Arkansas River May 13-31. Expedition to Clarendon June 25-29. Clarendon June 25-26. Duty at Duvall's Bluff until August 30. Expedition in pursuit of Shelby August 27-September 6. Gregory's Landing, White River, September 4. Duty at Duvall's Bluff, guarding railroad, provost and fatigue duty until June 6, 1865. Hazen's Farm near Duvall's Bluff November 2, 1864 (Detachment). Moved to Little Rock June 6, thence march to Washington June 13-22, Guard public property at several points by detachments, with Headquarters at Camden until January 28, 1866. Companies "A," "B," "C" and "F" march from Washington to Camden July 8-22, 1865. Company "E" to Arkadelphia July 19-22, 1865. Companies "H" and "K" to Camden September 26, 1865, and Companies "D," "G" and "I" to Camden November 1, 1865. Company "F" assigned to duty at Paraclifta September 30. Regiment assembled at Camden and mustered out February 15, 1866.

Regiment lost during service 1 Officer and 52 Enlisted men killed and mortally wounded and 3 Officers and 372 Enlisted men by disease. Total 428.

Source: http://www.civilwararchive.com/Unreghst/unmiinf2.htm#12th

His GG Granddaughter has a bit more info. On Joshua, but her old gadget
Went down. She does have Rachel Pension Application & some other docs
Of the family. If Family" is interested, please let me know.

~Added by GG Granddaughter with Lots-Of-Love, Kathleen M Freitas
Due to a severe illness, this was very important for Kathleen to connect All the family together, which has been her huge Goal, with heavy resistance connecting ALL her Direct Family(guessing by others that aren't even family?) why would Family be against connecting
Our dearest family? It appears this is not going to happen!