Prudence Carter was an early convert to the The Church of Jesus Christ of Latter-day Saints.  She was a widow when she joined the church.  I found this obituary of her son, Gideon, that sheds some insight into Prudence and her family.

OBITUARY: Deseret News, Fri., 1 Nov 1901, p. 2. Note copy of same obituary can be found in the LDS Journal History of the Church, 1 Nov 1901, Historical Dept., Salt Lake City.

"Aged Pioneer Gone. Gideon H.C. Gibbs succumbs to injuries at age of 80 years. Gideon H.C. Gibbs, one of the men who helped found this city and who watched with even increasing pleasure its growth and development for over 50 years, died at his home, 123 North Fourth West street, yesterday afternoon. The cause of his death was the shock caused by a fractured hip sustained in an accident that befell him about five weeks ago. He had, however, attained the ripe age of 80 years. His years were full of usefulness and integrity and he goes down into his grave, borne tenderly upon the love and esteem of all who knew him.

He came to Utah with the 2nd company of pioneers, under Pres. John Taylor, arriving in this city Sep. [22 or 23?], 1847. Settling in the old fort, he remained there a year or two, when he established his home on the very spot where he died. In the days of the minute men, who were under General Burton, he was one of that intrepid band of defenders whose names were a terror to the hostile Indians. In whatever capacity he was called to serve his people he responded readily, and serve cheerfully and faithfully.

He was a native of Vermont, and was born on July 31, 1821. In his early youth he became a member of the Mormon Church and moved to Ohio. The dark and bloody events of Missouri and Illinois found him in the thickest of them. He served as a body guard to the Prophet Joseph Smith before the latter's imprisonment in Carthage jail. In the expulsion from Nauvoo.  Mr. Gibbs rendered great assistance to the distressed Saints. He started across the plains with his mother and four sisters, his father having died some time previous. Before the journey was over his mother succumbed and she was buried alongside of that immortal trail. He leaves two widows, two sons and two daughters. The funeral will be held for the 16th ward meeting house at 12 noon, Sunday. The remains may be viewed from the family home from 10:30 to 11:30 on the day of the funeral."