The original spelling of the name was probably LOOMYS, as Joseph was probably of Dutch ancestry (many skilled Dutch were brought to England to work in the textile industry).

1.  Elisha S. Loomis.  1908.  Descendants of Joseph Loomis in America and His Antecedents in the Old World:  the Original Published by Elias Loomis, 1875.  Self-published (facsimile available from the New England Historic Genealogical Society, Boston).

2.  Gary Boyd Roberts.  1995.  Ancestors of American Presidents.  New England Historic Genealogical Society, Boston, pp. 28, 240.

3.  Crow-Lewis-Goodwin [link died] by Stephen M. Lawson.

4.  Charles Edwin Booth.  1910.  One Branch of the Booth Family Showing the Lines of Connection with One Hundred Massachusetts Bay Colonists.  Self-published, New York (online at GenealogyLibrary.com).  Although self-published, the book is heavily documented.  See list of resources below, for the "Loomis" section only.  Booth takes descendants to six generations.  I stop quoting with the second, where we daughter-out with Sarah.

p. 073	His [John Porter's] home lot was situated near the junction of what is now the Farmington river with the Connecticut, between the houses of George Phelps and Joseph Loomis, and nearly opposite those of Henry Wolcott and Matthew Allyn.
p. 211	LOOMIS.     Joseph Loomis came on the Susan and Ellen to Boston, July 17, 1638, and after staying a year in Dorchester, he is supposed to have accompanied Rev. Ephraim Hewitt to Windsor, Aug. 17, 1639.  He was b. 1590. d. Nov. 25, 1658, in Windsor. m. Mary White, June 30, 1614, in Shalford. bap. Aug. 24, 1590. d. Aug. 23, 1652.     Joseph Loomis was a woolen draper, a merchant engaged in the purchase of cloth from the many weavers who wove on hand looms in their cottage homes.      He had a store in Braintree, Essex, Eng., stocked with cloths and other goods which a draper usually dealt in. These products he sold both wholesale and retail to tailors and consumers in general.     Braintree and near-by towns were centers of the cloth manufacture, as many weavers from Flanders had been induced to come to England by Edward III and they had been followed by others in the latter part of the sixteenth century, who had settled in Essex, not far from Braintree, in 1570. Joseph Loomis was in prosperous circumstances and his father-in-law, Robert White, was a man of considerable means for those times.  Elder John White was a son of Robert White, and the wives of John Porter and Elder William Goodwin were also daughters of Robert White.     Joseph Loomis settled at Windsor near the junction of the Farmington river with the Connecticut, on the island.  The island was high land and so called because it became an island at every great freshet of the river.  His house has been in the perpetual possession of the family down to the present time and is probably the oldest one now standing in Connecticut, which is still owned by the descendants of the pioneer builder.  It was on this island that Capt. William Holmes and a few other men of the Plymouth colony established a trading house in 1633, which was the first permanent English settlement in Connecticut.     Joseph Loomis was Deputy in 1643, 1644. In Feby. 1640 he had granted him 21 acres on the west side of the Connecticut river; he also had several large tracts on the east side, partly from the town and partly by purchase.
p. 212	SECOND GENERATION.      Lieut. Samuel Loomis, b. in Eng. 1628. d. Oct. 1, 1689, in Westfield. m. Elizabeth Judd, Dec. 27, 1653. b. 1633 to 1636.  d. after 1716.  He was of Farmington, but moved to Windsor 1660, and to Westfield about 1674.  Freeman, 1669. He was made Ensign, May 27, 1674, and Lieutenant later.      Sarah Loomis, b. 1617, in Eng. d. ___ m. Capt. Nicholas Olmstead, Sept. 28, 1640. b. in Eng. d. Aug. 31, 1684.
Works cited by Booth for just the LOOMIS section: Loomis Genealogy, 1875 ed. by Elias Loomis, pp. 25, 26, 30, 38, 54, 91. Loomis Genealogy, female branches, 1880 ed. by Elias Loomis, Vol. 1, page 15. The Loomis Family in America, by Elisha S. Loomis, pp. 21 to 23, 86, 93 to 108, 121, 126, 128, 132, 140, 153, 178. Dewey's Ancient Westfield, unpublished. Supplement to General Register Society of Colonial Wars, 1906 ed., page 333. Manwaring's Digest of Hartford Probate Records, Vol. 1, page 135. Savage, Vol. 2, pp. 352, 574; Vol. 3, pp. 112, 113, 114, 286. Paige's Cambridge, page 620. Connecticut Magazine, Vol. 10, page 361. Stiles' Windsor, Vol. 1, page 939; Vol. 2, pp. 432, 433, 434, 620. Trumbull's Hartford County, Vol. 1, page 253. Conn. Colonial Records, Vol. 1, page 256. Temple's Palmer, page 503. Judd Genealogy, page 11. Noble Genealogy, page 27. Sheldon's Suffield, page 36. Westfield Jubilee, pp. 55, 75. Society of Colonial Wars in the State of Maryland, 1905 ed., page 85. Wright's Indian Deeds of Hampden County, page 161. Registry of Probate, Northampton, Vol. 1, page 268; Vol. 2, page 254; Vol. 3, pp. 287, 311, 323; Vol. 9, pp. 43, 85, 172, 193; Vol. 10, page 60. Registry of Probate, Pittsfield, docket 1156, will of Samuel5 Loomis. Westfield Church Records. Westfield Town Records, B. M. & D., Vol. 1, pp. 14, 24, 83, 84, 93, 133. Great Barrington Church Records. New Eng. Hist. and Gen. Register, Vol. 6, pp. 266, 267; Vol. 30, page 459; Vol. 46, page 370; Vol. 55, page 22, et seq.

5.  National Society of Daughters of Founders and Patriots of America.  1975.  Founders and Patriots of America Index.  Published by the society, Washington, DC  (reprinted 1989/93, Genealogical Publ. Co., MD; Broderbund CD-506).  On p. 140:

LOOMIS Joseph  (a. 1590-Nov. 25, 1658) m. June 30, 1614 Mary White CONN

6.  Mary Louise M. Hutton, compiler.  1976.  Seventeenth Century Colonial Ancestors of Members of the National Society Colonial Dames XVII Century, 1915-1976.  Edwards Bros., Ann Arbor, MI (reprinted 1981/88 by Genealogical Publ. Co., Baltimore, MD; Broderbund CD-506).  On p. 160:

Loomis, Joseph (1590-1658) Mass.-Conn.; m. Mary White. Landowner.

7.  Charles Knowles Bolton.  1927.  Bolton's American Armory: a Record of Coats of Arms Which Have Been in Use within the Present Bounds of the United States. 2nd. ed.  F.W. Faxon, Boston, MA (1964, Heraldic Book Co., Baltimore, MD; Broderbund CD-368).

Loomis  Arg bet 2 pales 3 fleurs-de-lis a chief az Crest: on a chapeau gu (?) turned up erm a pelican wounding herself Motto: Ne cede mailis Bookplate C.B. Loomis, writer

8.  William Armstrong Crozier.  1904.  Crozier's General Armory: a Registry of American Families Entitled to Coat Armor.  Fox, Duffield, & Co., New York (1957, Southern Book Co., Baltimore, MD; Broderbund CD-368).

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9.  LDS.  Family Search: Internet Genealogy Service: Ancestral File and International Genealogical Index.

[Note to myself:  there is a great deal more on Joseph Loomis at GenealogyLibrary.com and more on his and Mary White's ancestry at the LDS site.]