Faustine Darsey on partial hiatus I undid the Disconnect of Rufus from his parents that you did recently (on Tuesday of this week).
The sources given in the About prove his parentage.
In the Lyon genealogy on pps. 106 and 123, his death date is off by ten years, given as 1804 instead of 1814. But everything else matches:
95. IV. 40. HANNAH4 LYON [Benjamin3, Benjamin, Esq.2, Henry1] married JONAS4 CRANE [John3, Azariah2, Jasper1] born in 1718. Hannah (Lyon) Crane and her husband, Jonas Crane, died Jan. 26, 1745, and were buried together.
Son of Jonas and Hannah (Lyon) Crane: *287. I. Rufus; b. 1744; died 1804.
287. V. 95. RUFUS5 CRANE [Hannah4 (Lyon), Benjamin3, Benjamin Esq.2, Henry1] was born at Lyons Farms 1744, and died in 1804. He was precentor of music in the First Presbyterian Church at Newark at the age of nineteen. Rufus Crane was a soldier of the Revolutionary war, a private in Col. Philip Van Courtland's Second Essex Regiment. He married first Mary4 Plum [John3, John2, Samuel1], who died after 1774. He married second Charity, daughter of John and Rebecca (Baldwin) Campbell.
https://archive.org/details/lyonmemorial00lyon/page/106/mode/1up
In the Crane genealogy, he is described on pps. 319 and 343:
250. Jonas Crane4 [86], (John,3 Azariah,2 Jasper1) , married Hannah Lyon, daughter of Benjamin Lyon, and lived in Newark, N.J., on east side of Broad Street, on part of the house lot given his mother by Robert Treat, her father, and died there Jan. 24, 1745, aged 27 years. His wife also died the same day, and they were buried together. They left one child about a year old named Rufus, who was taken to live with his grandfather, John Crane. Was chosen pounder for the Great Neck in 1740. March 5, 1743-4 was chosen one of the assessors for the town.
Child :
251—1. Rufus, b. 1744.
660. Rufus Crane5 [251], ( Jonas,4 John,3 Azariah,2 Jasper1), married 1st, ____Lyon; 2d, CHARITY CAMPBELL, 1779, daughter of John. She was born 1760, and died in 1829. He was born in Newark, N.J., 1744; served in the Revolutionary war, in McDougall's New Jersey Brigade, Continental Army; private, Capt. Henry Squires Co., 2d Essex Regiment, New Jersey Militia, Col. Philip Van Courtlandt.
He died in Newark, in 1814; was precentor of the music in the 1st Presbyterian Church, Newark. [Wife] Charity was daughter of John and Rebecca (Baldwin) Campbell. Children:
661— 1. Jonas, b. April 22, 1780.
662— 2. Betsey, b. Sept. 9, 1782.
663— 3. Abigail, b. March 5, 1785; d. in infancy.
664— 4. Abigail, b. July 19, 1787.
665— 5. William, b. Mav 6, 1790.
666— 6. Ira, b. Oct. 29, 1792; d. young.
667— 7. Rebeckah, b. Aug. 6, 1794.
668— 8. Richard Montgomery, b. July 10, 1797.
669— 9. James Campbell, b. Sept. 7, 1803.