.  LDS.  Family Search: Internet Genealogy Service:  IGI - International Genealogical Index (online at FamilySearch.org).

Alfred H. HYATT Birth: 17 May 1821, Of Danbury, Fairfield, Connecticut Father:  Daniel HYATT; Mother: Irene HAMBLIN Marriage: 13 May 1844 Spouse: Mariette KEELER Source: patron submission

Alfred E. HYATT Marriage: 13 May 1844 Spouse: Marietta KEELER Birth: 13 Aug 1822, Danbury, Fairfield, Connecticut Death: 14 Oct 1863 Father: Abraham Gray KEELER; Mother: Sarah DANN Source: patron submission

Alfred Hamlin HYATT Birth: 17 May 1821, Kinderhook, Columbia, New York Marriage: 06 Oct 1864, Connecticut Spouse: Betsey HOYT Birth: 14 Feb 1822, Danbury, Fairfield, Connecticut; Death: 04 Nov 1883 Source: patron submission

Lewis HOYT Birth: About 1796, Connecticut Marriage: About 1821, Connecticut Spouse: Julia BENEDICT Birth: About 1801, Connecticut Source: patron submission

2a.  1850 Census Every-Name-Index/Images (online at Ancestry.com, Image #92 of 142):  Danbury, Fairfield Co., CT, Roll M432_37, p. 128B, enumerated 14 Aug 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):

642	754	Alfred Hyatt	28	M		Hatter		Ct
		Maryetta  "	27	F				"
		Edward F  "	4	M				"
		Wallace   "	2	M				"
	755	Jennett Furguson	32	F				"
		Elbert      "	8	M				"
		James       "	5	M				"
		Maryetta    "	3	F				"

Jeanette (KEELER) FERGUSON is Marietta's sister.

.  1860 Census Every-Name-Index/Images (online at Ancestry.com, Image #33 of 182):  Danbury P.O., Borough of Danbury, Fairfield Co., CT, Roll M653_73, p. 197A, PN 33, 223/246, enumerated 8 Jun 1860, official enumeration date 1 Jun 1860 (extracted by Diana Gale Matthiesen):

Alfred H Hyatt	38	M		Hatter		750	Conn
Marietta   "	37	F					"
Edward F   "	12	M					"
Wallace R  "	10	M					"
Wellie P   "	9	M					"
Harriet T Wheeler	21	F		Hat Trimer?			"
Frances      "	4	F					"
Henriette Nodine	18	F		Hat Trimer?			"
Sally Welson	38	F				500	"

.  1860 Census Every-Name-Index/Images (online at Ancestry.com):  Betsey HOYT (æ 23, b. CT) is living in Danbury, Fairfield Co., CT (p. 329B), with her parents, Lewis HOYT (æ 66, b. CT) & Julia (æ 52, b. NY).

.  1870 Census Index/Images (online at Genealogy.com, Image #97 of 22):  Danbury P.O., Borough of Danbury, Fairfield Co., CT, Roll M593_97, p. 343A, PN 97, 698/827, enumerated 22 Jul 1870, official enumeration date 1 Jun 1870 (extracted by Diana Gale Matthiesen):

Hyatt Alfred H	49	M	W	Hatter	2000	500	Connecticut
_____ Betsey	33	F	W	Keeping House			Connecticut
_____ Nettie J	9	F	W				Connecticut
_____	1/12	F	W				Connecticut	May
Corbin Polly	85	F	W			400	New York

Polly married Philip CORBIN as Polly HYATT, so she's probably kin, but what is the relationship?  As far as I know, she's not Alfred's mother nor Betsey's.

.  1880 Census Every-Name-Index/Images (online at Ancestry.com, Image #21 of 84):  Danbury, Fairfield Co., CT, Roll T9-0094, p. 69B, p. 22, SD 1, ED 112, enumerated 7 Jun 1880, official enumeration date 1 Jun 1880 (extracted by Diana Gale Matthiesen):

1880:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).

1

2

3

4

5

6

8

9

10

13

21

24

25

26

149

205

Hyatt Alfred H

W

M

59

/

Hat Sizer

Connecticut NY

Conn NY

Conn NY

_____ Betsy

W

F

43

Wife

/

Keeping House

Connecticut

Conn

Conn

_____ Nettie J

W

F

19

Dau

/

At home

Connecticut

NY

Conn

_____ G?? M

W

F

10

Dau

/

At School

/

Connecticut

NY

Conn

The younger daughter is indexed "Geanie," but it's hard to say what it really is.