Thank's to Torrey (see below), many give Judith's maiden name as CUTTING, but even Torry — indicating by the use of [brackets] — was uncertain of her name.  There is, in fact, no direct evidence that her maiden name was CUTTING, and even if it was, she is certainly not Sarah's sister.  Bad data are not better than no data (mistakes mislead), so in such a case, it's better to leave her maiden name unknown.

There must have been another son, James, because one survived to marry.
  3.  James BROWN II, b. aft. 1643
He named a daughter, Judith, presumably in honor of his mother.

Children with birth records:
  8.  Mary BROWN, b. 25 May 1663; living in 1674
  9.  Abigail BROWN, b. 24 Oct 1665; living in 1674
10.  Martha BROWN, b. 22 Dec 1667

1a.  Clarence Almon Torry.  1985.  New England Marriages Prior to 1700.  New England Historic Genealogical Society, Boston, MA (reprinted 1997, Genealogical Publ. Co., Baltimore, MD):

The "b" indicates the birth date of a child as an indication that the marriage took place before this time.  The locations are known residences of the husband, ending with the husband's place of death.  Items in [brackets] are uncertain.  An entry in Torrey does not imply a marriage in New England; it only demonstrates the presence of a married couple there before 1700.  Torrey is a compilation of published sources, not primary records, so he should be considered a secondary source.

p. 106

BROWN, James (?1605-1676) & 1/wf [Judith] [CUTTING]; b 1638; Charlestown... BROWN, James (?1605-1676) & Sarah [CUTTING] (-1699) (æ 50 in 1679), m/2 William HEALEY 1677, m/3 Hugh MARCH 1685; b. 1652; Charlestown / Newbury / Salem

1b.  Clarence Almon Torry.  2015.  New England Marriages Prior to 1700.  New England Historic Genealogical Society, Boston, MA (repuslished; online at AmericanAncestors.org):

p. 219

BROWN, James (?1605-1676) & 1/wf [Judith] [CUTTING]; by 1638; Charlestown {Charlestown 136, 271; Sv. 1:268; EIHC 48:86; Cross Anc. 54; Cushing (ms) 130; Holman Ms: Brown 1}... BROWN, James (?1605-1676) & Sarah [CUTTING] (-1699) (æ 50 in 1679), m/2 William HEALEY 1677; m/3 Hugh MARCH 1685; by 1652; Charlestown / Newbury / Salem {Charlestown 136, 137, 271; Salem 2:420; Sv. 1:268, 496; Essex Ant. 8:70, 165, 12:133, 13:164; Cushing (ms) 130-1; Woolson-Fenno 94: EIHC 48:86; Cross Anc. 54; Holman Ms: Brown 1}

1c.  Marriage Index:  Massachusetts, 1633-1850 (Broderbund CD-231):

Healey, William	Brown, Sarah	Nov 29, 1677	Newton	Middlesex Co.
Healy, William	Brown, Sarah	Nov 29, 1677	Cambridge	Middlesex Co.
March, Hugh, Sr.	Healy, Sarah	Dec 3, 1685	Newbury	Essex Co.

2.  David Pulsifer, compiler.  1848-1850.  "Early Records of Boston."  The New England Historical & Genealogical Register  II(Jan): 76-80; II(Apr): 188-191; II(Jul): 274-276; II(Oct): 400-402; III(Jan): 38-40; III(Apr): 126-127; III(Jul): 247-248; IV(Jan): 55-56; IV(Apr): 181-184.

IV(Apr): p. 183

A REGISTER OF THE BIRTHS [&] BURIALLS IN CHARLESTOWNE FROM THE YEARE 1630, VNTILL THE YEARE 1644... John the sonne of James Browne & Judith his wife was borne 4°. (11°) 1637. James the sonne of James Browne & Judith his wife was borne, 20°. (12°) 1642 & buried 28° (6°) 1643.

3.  Anon.  1911.  Vital Records of Newbury, Massachusetts, to the End of the Year 1849. Volume I.—Births.  Essex Institute, Salem, MA (online at AmericanAncestors.org):

p. 66	BROWN... A[bigal CT. R. and S. dup.], d. James, Oct. 24, 1665...
p. 74	BROWNE... Martha, d. James, Dec. 22, 1667... Mary, d. James, May 25, 1663...

4.  Jay Holbrook & Delene Holbrook, compilers.  n.d. Town and City Clerks of Massachusetts: Massachusetts Vital and Town Records.  Typescript.  Holbrook Research Institute, Provo, UT (online at Ancestry.com):

Name	-	-	-	James Browne	-
Event Type	-	-	-	Burial	-
Death Date	-	-	-	abt 1643	-
Burial Date	-	-	-	28 Aug 1643	-
Burial Place	-	-	-	Boston, MA	-
Father Name	-	-	-	James Browne	-
Mother Name	-	-	-	Judith Browne	-

5.  Anon.  1909.  "Descendants of James Brown of Newbury." The Essex Antiquarian XIII(1): 164-166 (online at www.americanancestors.org and books.google.com):

p. 164

DESCENDANTS OF JAMES BROWN OF NEWBURY.      JAMES BROWN,1 born about 1604; glazier; lived in Newbury as early as 1652.  He married Miss Sarah Cutting of Newbury before 1652.  He bought a house and some land on St. Peter street in Salem in 1664; and sold their estate in Newbury to his son James in 1672.  He died in Salem 3 : 9 mo : 1676; and his estate was appraised at £119, 10s., 6d.  She survived him, and married, secondly, William Healy of Cambridge before 1677-8.      Children, born in Newbury:—   2—I.   JOHN2, d. Dec. 18, 1690   3—II.   JAMES2, See below (3).   4—III.   MARY2, b. May 25, 1663, living in 1674.   5—IV.   ABIGAIL2, b. Oct. 24, 1665; living in 1674.   6—V.   MARTHA,2 b. Dec. 22, 1667; probably m. John Tappan Sept. 3, 1688, in Andover.   7—VI.   SAMUEL,2 d. at sea Nov. 15, 1690, probably unmarried.   8—VII.   ABRAHAM,2 living in 1682.   9—VIII.   ANNA2, under eighteen, 1674.   10—IX.   SARAH2, m. __ Be(o?)azely before 1674.

.  Sidney Perley.  1924-28.  The History of Salem, Massachusetts.  3 vols.  Self-published, Salem, MA (Broderbund CD-117):

Vol. II (1638-1670)

p. 420

James Brown,2 a glazier, born about 1604, came from Newbury to Salem about 1668, having bought a house and lot of Christopher Waller, at 28 St Peter Street, in 1664, and lived there until his death in 1676. [image of signature]      2JAMES BROWN1 married Sarah Cutting of Newbury, died Nov. 3, 1676; she married, secondly, William Healy of Cambridge; children: 1. James;2 2. Abraham,2 living in 1682; 3. Anna,2 under eighteen in 1674; 4. Sarah,2 married — Beazely; 5. John,2 died Dec 8, 1690; 6. Samuel,2 died at sea Nov 15, 1690; 7. Mary,2 born May 25, 1663, living in 1674; 8. Abigail2 born Oct 14, 1665, living in 1674; 9. Martha,2 born Dec. 22, 1667, married John Tappan Sept. 3, 1688, in Andover.      JAMES BROWN,2 ... [see his page]

Looks like Perley pretty much just copied the 1909 article in The Essex Antiquarian.

.  Public Member Trees (online at Ancestry.com).

.  WorldConnect / Ancestry World Trees (online at RootsWeb.com/Ancestry.com).