Sarah appears as the daughter of Peter in his will in 1852. In the official Stark Co. Record of Deaths, Sarah Mottice born in Stark Co. and died in Sandy Twp. dies of heart disease on April 5, 1880 at the age of 64. She is single (unmarried) and would have been born around 1816.
She also appears in the in the Waynesburg Presbyterian Church records.
In the records of Peter Mottice's estate sale there are several items identified as sold to Sarah Mottice, and several other items identified as sold to Sarah A. Mottice. I am not sure whether these are the same person and a clerical error neglected the middle initial on some entries, or whether they are two different Sarahs. In either case, I have no information as to whether Peter's daughter has a middle initial "A."