I'm not related, just trying to help.

There's a marriage in Carroll Co, AR for a Jesse Bridges. I found it on familysearch.org. It could be for the son from 1870. Another version of the record gives the bride's maiden name as French.

Arkansas, County Marriages, 1837-1957
name: Jesse Bridges
event: Marriage
event date: 10 May 1890
event place: Carroll, Arkansas, United States
age: 21
estimated birth year: 1869
residence:
spouse: Edna Finch
spouse's age: 18
spouse's estimated birth year: 1872
spouse's residence:
marriage license date: 10 May 1890


Also, I found this obituary on the Marion Co, AR UWGenWeb site. The age is off by several years but it's certainly close to where the older Jesse was living in 1870.

Mt. Echo Newspaper May 21, 1886 issue: Died-- At his residence near this place on Monday morning, May 17th, 1886, of apoplexy(sic), Mr. Jesse BRIDGES, aged about 47 years. His death was very sudden. He leaves a widow and five children who have the sympathy of the entire community in their sad bereave- ment and great sorrow. Resolution Of Respect Whereas, God in His infinite wisdom has seen proper to remove from our midst our friend and brother, Jesse BRIDGES, be it therefore Resolved, 1. That we, as members of the Young Peoples' Christian Association of Yellville, extend to the grief stricken family of our deceased brother our deepest sympathies in the great bereavement and that we commend them to the mercy of God, who alone can comfort them in this sad affliction. 2. That while we are grieved at this untimely death of one of our members, and while we prayerfully sympathize with the sorrowing ones who mourn in him the loss of a father and husband; yet it is consoling to remember that at the first meeting of the Society -- and the only one which it was his privilege to attend -- he gave public testimony that he had found Jesus in the forgiveness of his sins; that he was at peace with God, and that he rejoiced in the hope of a bright immortality beyond the grave. 3. That a copy of this resolution be furnished The Mountain Echo with request to publish, and also that a copy be given to the family of the deceased, and that the same be spread upon the record. James Young, J. C. Floyd, Committee. Yellville, Ark., May 28, 1886. "Death Of A Brother" [The following verses in remembrance of Mr. Bridges, were written and handed in by Mr. Thomas Railsback with the request to publish.] Death has been here and borne away A brother from our side; Just in the morning of his day, As young as we he died. Not long ago he filled his place And sat with us to learn; But he has run his mortal race And never can return. Perhaps our time may be as short, Our days may fly as fast; O Lord impress the solemn thought That this may be our last. We cannot tell who next will fall Beneath thy chastening rod; One must be first, -- but to us all Prepare to meet our God.