The coat of arms description by Charles Batchelder did not indicate any colors, but I added color for interest and contrast. It is anybodies guess as to the colors. According to the heraldry reference that I consulted, this is close to the text description.  It is interesting to note that the two projections into the Atlantic at Hampton, New Hampshire are called Little Boars Head and Big Boars Head.  Coincidence or did Stephen believe the legend? No one knows whether there is any truth to it or not.
Excerpt from article in Lane Memorial Library (for complete article click on Lane Memorial Library Link on the home page).

                           Page updated: Thursday, February 10, 2000
                                     Rev. Stephen Bachiler
                              By the Hon. Charles E. Batchelder,
                                     of Portsmouth, N.H.
(New England Histoilcal and Genealogical Register., Jan., Apr., Jul., Oct., 18921 The word "bacheloe' has long been a sore puzzle to etymologists, says Lower, in his work on English Surnames. * [Lower's Patronymica Brittanica, 20.1 That the name "Bachelor," however spelled, is the same as the word "bachelor," meaning an unmarried man or a college graduate, is unquestioned, but many derivations have been given by different authors to account for the meaning of the word, some most fanciful and even grotesque, others with more probability of correctness. Knights bachelors were the most ancient, though the lowest order, of knighthood in England.
It is said in a note to Chitty's Blackstone that the most probable derivation of
" bachelor" is from bas and chevalier, an inferior knight.
The derivation of the word is given in Webster's Dictionary as from the old French "bachiler," meaning " a young man." A common derivation given is from "baccalaureus," having reference to the chaplet of laurel berries with which the new bachelor of arts was crowned. The earliest mention of the name indicates that it was given originally to mark the condition of its possessor as an unmarried man or as a young man, when there was an elder person of the same Christian name living in the neighborhood. The English registers of the thirteenth and fourteenth centuries, where we first meet the name, use the French prefix "le." Thus we find Jordanus le Bacheler, *[caiendarium Geneaiogicum, 1297.] Gilbert le Bacholer, *[Rotuii ciamwm in Turri Londonensi.] that is, Jordan the bachelor, Gilbert the bachelor. We may be reasonably sure that the names Jordan and Gilbert were then so common in a particular neighborhood that it was necessary to indicate by some addition to the Jordan or Gilbert that there was an elder or married person of the same name in the immediate neighborhood. If "Bacheloe'meant simply an unmarried man it was not proper or fitting at the death of Jordan le Bacheler in 1297, for he left surviving him a wife, Alice, and a son, John. It is, therefore, probable that the word "Bachelor" was used at that time much like junior, meaning simply "the younger," and though at first given to an unmarried man was not dropped upon marriage, as it was a convenient and not inappropriate designation of the younger, whether single or married. At a later period the "le," being superfluous, was dropped, and in 1433 we find John Bacheler returned in the commissioners' list of the gentry of Norfolk, England, though John ye Baschealer died at KeLsWe in Suffok Feb. 1, 1552. *[Registers of the Parish of Kelsale, Suffolk.]
We do not know where the family originated. There is the usual family tradition, which bears on its face the marks of improbability, that three brothers by the name of Bachiler served under William the Conqueror and were rewarded after the battle of Hastings in 1066 by a grant of land in Wiltshire. For sign manual they were given a shield upon which were three boar's heads, united by three links, a spear above them couchant. There was no crest, indicating that they were private soldiers.
Before 1600 we find the family name in the counties of Kent, Surrey, Sussex, Wilts, Hampshire, Bucks, Nfiddlesex, Norfolk and Suffolk, all in the southeastern part of England. Very few are found north of London. The earliest mention of the name is found in Surrey, and very probably Surrey or Sussex was the earliest home of the Bachilers.