That’s where your tree is off. Betsy Ward Martin Hughes had two daughters, Nancy Martin Hilderbrand and Rachel Hughes Rogers. Neither woman had a daughter named Sarah, and none of their children married a Crittenden. The only Henry Crittenden I find connected to Nancy Ward was the father of George W. Crittenden and Sarah Crittenden, siblings who married siblings Martha Jane Starr and Joseph McMinn Starr, great-great grandchildren of Nancy Ward, descended from Kati, Nancy Harlan, and Joseph Starr, born in 1839 and 1842 respectively. An unknown Crittenden fathered a child by Lucy Starr born 1825, a first cousin of Martha and Joseph above. John Hair Conrad, born 1824, another great-great grandchild parented a child by Aelie Crittenden, and another great-great, Emily Roach b. 1832, married Aaron Crittenden about 1865. .
Those are all the Crittendens connected to Nancy Ward descendants of the first four generations.