It's possible that this is Phebe Cook and son in 1860 . This may be her parents and siblings. Julian D could be Delancy. William Tappan was born Ct. Everyone else in NY.
1860 United States Federal Census
Name: Phebe Cook
Age in 1860: 29
Birth Year: abt 1831
Birthplace: New York
Home in 1860: Aux Sable, Grundy, Illinois
Post Office: Morris and Minooka
Value of real estate:
William Tappen 51 Amanda Tappen 52 Francis Tappen 20 Henry Tappen 18 Jane Tappen 16 Phebe Cook 29 Delacy Cook 6
Source Citation: Year: 1860; Census Place: Aux Sable, Grundy, Illinois; Roll: M653_181; Page: 263; Image: 263; Family History Library Film: 803181.
I didn't see Alfred anywhere.He enlisted in Ogdensburg, St. Lawrence Co. NY but I didn't see him there in 1860. Both he and his 2nd wife filed for a CW pension and neither got one.The files may contain some great information.