— born in Genesee Co., NY:
2.  Jerome ALLEN, b. 1833/4
3.  Sarah ALLEN, b. ca. 7 May 1831; d. 28 Mar 1835
4.  Adeline ALLEN, b. 1837/8
5.  William ALLEN, b. 1839/40
6.  Sarah ALLEN, b. 1840/1
7.  Mary ALLEN, b. 1845

1.  Marriage Record:

2.  1830 Census Index/Images (online at Ancestry.com, Image #29 of 34 — indexed "Carl"; extracted by Diana Gale Matthiesen):

1830

NY

Genesee Co.

Covington

Roll 90

p. 185

Ln. 1

Earl Allen

101 010 - 001 010 010

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	4 or under	1825-1830	= Daniel (b. 1829)
1 male	10-14	1815-1820	= ?
1 male	20-29	1800-1810	= Earl (b. 1803/4)
1 female	10-14	1815-1820	= ?
1 female	20-29	1800-1810	= Eunice (b. 1804)
1 female	50-59	1770-1780	= ?

3.  1840 Census Index/Images (online at Ancestry.com/Genealogy.com):  can't find Earl, but there is a "Joel" in Batavia (Genesee, Co., NY, p. 515) which may be a mis-reading of Earl; however, that page is missing at both Ancestry.com and Genealogy.com, and I haven't found an extraction anywhere else.

4.  1850 Census Every-Name-Index/Images (online at Ancestry.com; Image #23 of 40 — Daniel is indexed "Daniel"):  Town of Pavilion, Genesee Co., NY, Roll, p. 196A, 171/189, enumerated 8 Oct 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):

Eunice Allen	45	F			2940	NY
Daniel Allen	21	M		Farmer		NY
Jerome Allen	16	M		Farmer		NY
Adeline Allen	12	F				NY
William Allen	11	M				NY
Sarah Allen	9	F				NY
Mary Allen	5	F				NY

5.  1860 Census Every-Name-Index/Images (online at Ancestry.com, Image #31-32 of 44 — David is indexed "David"):  Pavilion P.O., Town of Pavilion, Genesee Co., NY, Roll M653_756, pp. 797-798, PN 31-32, enumerated 30 Jun 1860, official enumeration date 1 Jun 1860 (extracted by Diana Gale Matthiesen):

246	251	David Allen	31	M		Farmer			New York
		Laverna Allen	30	F					New York
		George Allen	6	M					New York
		Lewis Allen	3/12	M					New York
[next page]
	252	Eunice Allen	51	F			4000	600	New York
		Adeline Allen	22	F		Seamstress			New York
		William Allen	20	M		Farmer			New York
		Sarah Allen	19	F		School Teacher			New York
		Mary Allen	14	F					New York

6.  1870 Census Every-Name-Index/Images (online at Ancestry.com, Image #36 of 41):  Stafford P.O., Town of Pavilion, Genesee Co., NY, Roll M593_939, p. 691B, PN 36, enumerated 24 Aug 1870, official enumeration date 1 Jun 1870 (extracted by Diana Gale Matthiesen):

311	302	Glass Henry H	33	M	W	Farmer	19,018	2163	New York
		"   Adeline	32	F	W	Keeping House			"
		"   Dayton	2	M	W				"
		Hutton Alexander	17	M	W	Farm Laborer			"
	303	Glass Seymour	67	M	W	Ret. Farmer			Vermont
		"   Sarah	62	F	W	Keeping House			New York
		Allen Eunice	63	F	W	Assists Kpg House			"

8.  Maplewood Cemetery, Pavilion, Genesee County, NY (online at the Genesee County NYGenWeb site):

Allen...

Earl, d. 26 Apr 1845, @41y...

Eunice, d. 23 Sep 1872, @68, w/o Earl...

Sarah, d. 28 Mar 1835, @ 3y 10m 21d, d/o Earl & Eunice...

9.  Birthdate calculated using Ben Buckner's Birthdate Calculator.

Name	Deathdate	Age at Death	Result
Sarah	28 Mar 1835	21d 10m 3y	7 May 1831
(Calculated birthdates should always be prefaced with "ca." — you can't be certain the person who calculated their age did it correctly.)