Daniel KARBON / CORBIN
Dolly CUNNINGHAM
Husband:  Daniel KARBON / CARBON / CORBIN
Birth:  1803/4, Bavaria
Occupation:  farmer

KARBON is a common surname in Bavaria, so Daniel's surname has almost certainly Anglicized from KARBON to CORBIN.

Marriage:
Wife:  [Dorothy] Dolly CUNNINGHAM
Birth:  1802-4, NY
Occupation:  homemaker
Children — born in NY, probably in Le Ray, Jefferson Co., NY:
1.  Daniel W. CORBIN, Jr., b. 1830/1
2.  Julia CORBIN, b. 1832/3
3.  Catharine / Catherine "Kate" CORBIN, b. 1834/5
4.  Ephraim CORBIN, b. 1837/8
5.  Maria Louisa CORBIN, b. ca. 1841
Keywords for search engines:  FRG, German, DEU, Deutschland, Bayern; USA, US, United States, New York

Sources:

1.  LDS.  Family Search: Internet Genealogy Service: IGI - International Genealogical Index (online at FamilySearch.org).
Daniel CORBIN
Birth: About 1805, Neuberry, Germany; Death: About 1879
Marriage: About 1827, Fort Plain, New York
Spouse: Dolly CUNNINGHAM
Birth: About 1807, Fort Plain, New York; Death: About 1895
Children, born in Theresa, Jefferson, New York:
1. Julia CORBIN; Birth: About 1818
2. Katherine CORBIN; Birth: About 1830
3. Daniel W. CORBIN; Birth: About 1832; Death: Mar 1905
4. Ephraim CORBIN; Birth: About 1832; Death: About 1896
Source: patron submission
There's no such place as "Neuberry" in Germany, but there is a Neuberg and several Neuburg's in Bavaria.  There are Fort Plain's in Fulton and Montgomery Cos., NY.

2.  1830 Census Index/Images (online at Ancestry.com):  not found in Jefferson, Fulton, or Montgomery Co., NY.  It's hard to tell whether he's anywhere else.

3.  1840 Census Index/Images (online at Ancestry.com, Image #21-22 of 42; extracted by Diana Gale Matthiesen):¤•
1840 NY Jefferson Co. Le Ray Roll 291 pp. 22-23 Ln. 27 Daniel Carbon 110 001 - 020 010 0100000
These data indicate:
No. & Sex Age Class Therefore Born Individuals Inferred
1 male 4 or under 1835-1840 = Ephraim (b. 1837/8)
1 male 5-9 1830-1835 = Daniel Jr. (b. 1830/1)
1 male 30-39 1800-1810 = Daniel (b. 1803/4) 
2 females 5-9 1830-1835 = Catherine (b. 1834/5)
= Julia (b. 1832/3)
1 female 20-29 1810-1820 = Dorothy (b. 1801/2)
1 person employed in agriculture
Either Dolly's in the wrong age class here, or her age in the 1850 census is wrong.

4.  1850 Census Every-Name-Index/Images (online at Ancestry.com, Image #58 of 58):  Theresa, Jefferson Co., NY, Roll M432_515, p. 66B, 416/421, enumerated 9 Sep 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):¤•
Daniel Corbin 46 M   Farmer 1300 Germany
Dolly Corbin 48 F       New York
Daniel Corbin Jr 19 M   Farmer   New York
Julia Corbin 17 F       New York
Catherine Corbin 15 F       New York
Ephraim Corbin 12 M       New York
Loisa Corbin  9 F       New York

5.  1860 Census Every-Name-Index/Images (online at Ancestry.com, Image #20 of 67):  Theresa P.O., Town of Theresa, Jefferson Co., NY, Roll M653_762, p. 756, PN 20, 134/139, enumerated 20 Jun 1860, official enumeration date 1 Jun 1860 (extracted by Diana Gale Matthiesen):¤•
Daniel Corbin 54 M   Farmer 1800 300 New York
Dolly     " 56 F         "
Daniel W  " 28 M   Teacher     "
Julia     " 26 F   Servant     "
Kate      " 24 F   Tailoress     "
Ephraim   " 22 M   Farm Laborer     "
Maria L   " 18 F         "
Mary Hann  6 F         "

6.  1870 Census Every-Name-Index/Images (online at Ancestry.com, Image #37 of 63):  Theresa P.O., Town of Theresa, Jefferson Co., NY, Roll M593_945, p. 634B, PN 36, 285/299, enumerated 1 Jul 1870, official enumeration date 1 Jun 1870 (extracted by Diana Gale Matthiesen):¤•
Corbin Daniel 64 M W Farmer 2100 550 New York
______ Polly 65 F W Keeping House     "
______ Daniel W 37 M W Works on farm     "
______ Mary 29 F W At Home     "

7.  1880 Census Every-Name-Index/Images (online at Ancestry.com, Image #24 of 32):  Theresa, Jefferson Co., NY, Roll T9_839, p. 165C, PN 24, SD 7, ED 144, enumerated 16 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 11 13 24 25 26
270 292 Corbin Daniel W M 48     /   Farmer New York Bavaria NY
    ______ Mary W F 39 Wife   /   Keeping house New York NY NY
    ______ Dolly W F 76 Mother     /   New York NY NY
    ______ Ephraim W M 32 Brother /     Farm Laborer New York NY NY

8.  1890 Census:  the 1890 Census Population Schedules were destroyed.

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