Given the typical migration patterns, it's conceivable that Henry was born in MA, Martha in CT, and Sylvester in NY.  It is less conceiveable that Sylvester would have been born in OH.  On the other hand, there is a Prince HOPKINS in Ohio in the 1830 census.

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

Samuel HOPKINS Birth: 05 Apr 1789, Warren, Litchfield, Connecticut Marriage: About 1807, Of, Massachusetts Spouse: Naoma Birth: About 1787, Massachusetts Source: patron submission

2.  1810

3.  1820

4a.  1830 Census Index/Images (online at Ancestry.com):  there is one Samuel HOPKINS in Litchfield Co., CT, none in Michigan, eleven in New York, three in Ohio, and two in Pennsylvania.  The one in Connecticut (000 100 100 - 010 000 100 100) is the right age to be Samuel, but he has too few sons.

4b.  Census Index:  U.S. Selected Counties, 1830 (Broderbund CD-315):

1831 Petition	Michigan Territory	Hopkins, S.
1834 Petition	Monroe Co., MI	Hopkins, S.V.
1834 Petition	Michigan Territory	Hopkins, Samuel

These are the only S./Samuel HOPKINSes in Michigan in this index.

5.  1840 Census Index/Images (online at Ancestry.com, Image #7-8 of 8; extracted by Diana Gale Matthiesen):

1840

MI

Barry Co.

Thornapple

Roll 203 (Book 1)

pp. 35A-35B

Ln. 2

Samuel Hopkins

000 111 010 - 000 000 010

0400000

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	15-19	1820-1825	= Miles (b. 1825/6)
1 male	20-29	1810-1820	= Sylvester (b. 1818)
1 male	30-39	1800-1810	= Henry (b. 1807/8)
1 male	50-59	1780-1790	= Samuel (b. 1789)
1 female	50-59	1780-1790	= Naomi (b. 1786/7)
4	persons employed in agriculture

Samuel is the only HOPKINS in Barry County.

6a.  1850 Census Index/Images (online at Ancestry.com; Image #2 of 5):  Town of Rutland, Barry Co., MI, p. 101B, 563/574, enumerated 5 Sep 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):

Samuel Hopkins	60	M		Farmer		Ct
Noma Hopkins	63	F				Mass
Henry Hopkins	42	M				Laborer

Samuel should be 61, not 60, but even so, Henry is almost too old to be Samuel's son, so he may be Samuel's brother.

6b.  1850 Census Index/Images (online at Ancestry.com; Image #19-20 of 51):  Town of Clinton, Macomb Co., MI, pp. 46A-46B, 655/662, enumerated 2 Aug 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):

Jeremiah Folsom	33	M		Glass Manufacturer	10,000	N Hampshire
Marcia     "	34	F				Conn
Samuel     "	15	M		Clerk		N Hampshire
Harriet Maynard	14	F				Mich
[next page]
Edward Folsom	6	M				Mich
Marcia   "	6	F				"
Dumb Bates	30	M		None		N York	Dumb
Miles Hopkins	24	M		Farmer		"

7.  U.S. Dept. of the Interior, Bureau of Land Management. The Official Land Patent Records Office.

Date	Cert. No.	Land Office	Patented By	Acres	Aliquot Sec.Twp.Rng	Meridian	State	County*
1 Jun 1848	5664	Ionia	Miles S Hopkins of Barry county Michigan	40	SE¼ SW¼ S18.T4N.R8W	Michigan-Toledo Strip	MI	Barry
17 Jun 1850	7153	Ionia	Sylvester B Hopkins of Barry County, Michigan	40	NE¼ NW¼ S19.T4N.R8W	Michigan-Toledo Strip	MI	Barry
*The county is not given on the original certificate, which describes the location of the land solely in terms of Aliquot, Section, Township, and Range.  The county names must have been added to the database at some later time, probably when the certificate data were computerized.