The first child of John and Elizabeth (Work) Mayer was named Samuel.

1830 PA Census Index for Lancaster Co.
Elizabeth married 1836 - believed to have been Zion Lutheran Ch. Lancaster, Pa.
Ann married in 1848 in Sangamon 12 years later. Was Ann living with the Mayers?

Work, Samuel PA LANCASTER CO. LEACOCK TWP 245 1830
Work, Joseph PA LANCASTER CO. SADSBURY TWP 478 1830
Work, John PA LANCASTER CO. STRASBURG TWP 447 1830

There is an August Work age 24 also born PA, living in Perkins City, Tazwell Co., IL - page 107
Some marriages:
Parkhurst, William married Work, Hannah on 17 Mar 1837 in Adams County, Illinois
Mayer, George married Work, Ann on 29 Feb 1848 in Sangamon County, Illinois
Leeper, Robert A. married Work, Mary on 21 Nov 1838 in Warren County, Illinois

John, James & James Scott, Samuel? live in Wenona, Marshall Co., IL - A little north of Logan. Born/source Cumberland, PA.