Is David Milligan the father of Hannah Milliken/Milligan White?

I am looking for any information that proves the connection between Hannah Milliken White and her father, David Milligan, son of Samuel Milligan. 

According to History of the Families Millingas and Millanges of Saxony and Normandy Comprising Genealogies and Biographies of their Posterity Surnamed Milliken, Millikin, Millikan, Millican, Milligan, Mulliken and Mullikin A.D. 800-A.D.- 1907, Lewiston, ME, Journal Press, 1907, “Hannah, second daughter of David, b. in Swissvale, Perry Co., Penn., Aug 28, 1805; was m. in her 21st year to William White, and settled in Perry Co., Penn., where she united with the Associate Church. Subsequently the family removed to Indiana, and in 1866 removed to Pana, Ill., where she and her husband united with the U.P. Church and she died in 1872. 

David Milligan, son of Samuel Milligan, was born in Swissvale, Perry Co., PA, married Sarah Wallace and about 1814 moved west, where they settled near Pittsburgh (Braddock Fields), PA.  His wife died in 1818-1819, and his children went westward. He dies in 1834. The above book names his children: Samuel died in childhood; Sallie marries John Swisshelm; Robert marries Mary Ann Shortess; John marries Lucinda Elmore; James died young; Hannah marries William White; Peggy marries Robert Graham; Eleanor marries Dr. Joseph Faulkner; Hon. Joseph Milligan marries Janie M. Hawkins, then Harriet N. Fullenwider; and Rev. Thomas Stuart Milligan marries Louisa Frances Warren.

It appears that Hannah may have stayed in Perry County when the remainder of the family moved to Braddock Fields. She would have been about 10 years old at this time. Did she stay with other family who remained in Perry County?