— born at sea:
2.  John SMITH, b. 1829/30; d. by 1888

— born in PA:
3.  Mary SMITH, b. 1832/3; m. Peter YEAGER, b. 1822/3, Prussia
4.  Elizabeth SMITH, b. 1833/4; m. William WHITNEY
5.  Magdalena "Lena" SMITH, b. 1837/8
6.  George B. SMITH, b. 1840/1
7.  Christina SMITH, b. 1842/3; m. Edward COURTRIGHT, of Trumbull Co., OH
8.  Caroline SMITH, b. 1844/5; m. John SNODGRASS, of IA

1.  Marriage Record:

2.  1830 Census Index/Images (online at Ancestry.com):  there are six Jacob SMITHs in Allegheny Co., PA, but none seem to have tallies that jibe with our subjects.

3.  1840 Census Index/Images (online at Ancestry.com):  there are seven Jacob SMITHs in Allegheny Co., PA, but none seem to have tallies that jibe with our subjects.

4.  1850 Census Every-Name-Index/Images (online at Ancestry.com, Image #1 of 59):  West Salem Twp., Mercer Co., PA, Roll M432_796, p. 397B, 2087/2128, enumerated 26 Sep 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):

Jacob Smith	49	M		Farmer	500	Germany
Lena    "	48	F				"
John     "	20	M				Sea
Elizabeth "	16	F				Pa
Lena      "	12	F				"
George    "	9	M				"
Christeena "	7	F				"
Caroline   "	5	F				"

5.  1860 Census Every-Name-Index/Images (online at Ancestry.com, Image #44-45 of 47):  West Greenville P.O., West Salem Twp., Mercer Co., PA, Roll M653_1140, pp. 886-887, PN 92-93, 665/666, enumerated 28 Jun 1860, official enumeration date 1 Jun 1860 (extracted by Diana Gale Matthiesen):

Jacob Smith	56	M		Farmer	1700	750	Germany
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Magdalen Smith	54	F					Germany
Jacob F    "	28	M		Labourer			Pa
George     "	20	M					"
Christiana "	17	F					"
Caroline   "	13	F					"

Who is Jacob?  Did the enumerator err and this is John?  Is he a nephew, perhaps?

6.  1870 Census Every-Name-Index/Images (online at Ancestry.com, Image #33 of 52):  Sharpsville Furnace P.O., West Salem Twp., Mercer Co., PA, Roll M593_1374, p. 175A, PN 33, 255/255, enumerated 10 Aug 1870, official enumeration date 1 Jun 1870 (extracted by Diana Gale Matthiesen):

Smith Jacob	68	M	W	Farmer	900	1050	Wurtemburg
_____ Christina	26	F	W	Keeping House			Penna
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Smith George	28	M	W	Farming			Penna
_____ Frederick	41	M	W	Farming			Wurtemburg

7a.  1880 Census Every-Name-Index/Images (online at Ancestry.com):  Jacob not found.

7b.  1880 Census Every-Name-Index/Images (online at Ancestry.com):  Mary YEAGER (æ 47, b. PA/Ger/Ger) and her husband, Peter YEAGER (æ 56, b. Prussia/France/France), are living in Perry Twp., Mercer Co., PA (p. 332C), with seven of their children.

8.  Anon.  1888.  History of Mercer County, Pennsylvania.  Brown, Runk & Co., Publ., Chicago, IL (online at Ancestry.com):

p. 1198

FREDERICK SMITH, farmer, post-office Greenville, was born in Germany January 20, 1828.  His parents were Jacob and Magdalena Smith, natives of Germany, who immigrated to Allegheny County, Penn, in 1830, where they resided until the spring of 1844, and then settled on the farm in West Salem Township where our subject now lives.  They reared eight children:  Frederick, John, deceased; Mary, wife of Peter Yeager, of Perry Township; Elizabeth, widow of William Whitney, of Green Township; Magdalena, wife of Andrew Kechler, of Kansas; George B.; Christina, wife of Edward Courtright, of Trumbull County, Ohio, and Caroline, wife of John Snodgrass, of Iowa.  The parents were Presbyterians, and died on the old homestead, the father April 20, 1875, and the mother November 18, 1886.  Frederick has lived on his present farm since the coming of his parents in 1844.  He was married August 25, 1887, to Emeline, daughter of James and Jemima Gillis, pioneer residents of West Salem Township, where Mrs. Smith was born.  Politically Mr. Smith has been a life-long Democrat, and reveres the memory of his parents, who settled here forty-four years ago.