Not to be confused with Daniel E. GOODING (b. 1805/6, SC), also in the 1850 and 1860 censuses of Prince William Parish, who also had wife, Mary (b. 1807/8, SC).

1.  Marriage Record:

2.  1840 Census Index/Images (online at Ancestry.com, Image #5-6 of 22; extracted by Diana Gale Matthiesen):

1840

SC

Beaufort Dist.

Prince Williams Parish

Roll 508

pp. 249A-249B

Ln. 16

D. Gooding

221 001 - 221 001

no slaves

0200000

There's only one D. GOODING in the 1840 census of Beaufort District, with no way to tell whether he is Daniel E. GOODING or Daniel H. GOODING, if either; however, the number of children argues for the older Daniel because it would be extraordinary for a man to have accumulated ten children by the age of 30, and difficult enough to have done it by the age of 34.

3.  1850 Census Every-Name-Index/Images (online at Ancestry.com, Image #1 of 43):  Prince Williams Parish, District of Beaufort, SC, Roll M432_849, p. 15A, 6/6, enumerated 6 Sep 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):

Daniel H Gooding	40	M		Planter		South Carolina
Mary       "	37	F				"
Manda Stone/Slone	17	F				"
Richard Gooding	5	M				"
Sarah     "	17	F				"

I would interpret the order of the children to mean that Manda is Mary's child from a former marriage and that Richard is the child of Daniel & Mary.  It's harder to figure Sarah, though she might be Daniel's daughter from a prior marriage.

4.  1860 Census Every-Name-Index/Images (online at Ancestry.com, Image #25 of 51):  Whippy Swamp P.O., Prince Williams Parish, Beaufort Dist. [now Hampton Co.], SC, Roll M653_1214, p. 85A, PN 23, 184/196, enumerated 28 Sep 1860, official enumeration date 1 Jun 1860 (extracted by Diana Gale Matthiesen):

D H Gooding	49	M		Farmer	1750	800	S Carolina
Mary C    "	47	F					"
Sarah R   "	15	F					"
Rebecca R "	7	F					"
Sarah P   "	6	F					"

It's hard to figure what's going on here.  Has "Richard" morphed into "Sarah R"?  Listed next to Mary's married daughter, Amanda (STONE) CORBIN.