The spelling DISHONG, like the other forms DESHAW, DESHON, DISHON, etc. all started as DESCHAMPS (roughly 'des-SHAWn' with a silent 'n') in France.
The name 'des champs' just means "from the fields" in French and is a fairly common surname taken from an outdoor setting. Until about 1250-1400 AD, only royalty or noble people had some kind of title or special last name. Everyone else was just "John" or "Anne". Then people had to be more accurately identified so they could be taxed (what else is new ?). William the miller became William Miller, Robert the barrell maker became Robert Cooper, and John who worked or lived in a field in France became 'Jean Deschanps" and stayed that way until his descendants moved to the New World.
Like other surnames from many different languages, this one was 'mangled' by English-speaking border or immigration officials in the USA when the arrivals tried to pronounce it. Few people could write or spell, and the officials wrote down DESHON because that is how they heard it. In French, 'des' always sounds like 'day' and 'champs' is roughly like the English sound of 'shawn' with the 'n' sound removed.
In Nova Scotia, Canada, where I live, the original spelling of DESCHAMPS is still used, but the people with this surname have most often been English-speaking for many centuries. France ruled Canada between 1600 and 1750, so the original spelling of French names is more common here than it is in the USA, where the name was immediately changed to a new spelling.
There are two main ideas about the origin of this surname - some say they were French Protestants (Huguenots) who fled France because of religious persecution by the Catholic kings. If this is true, these people often lived in the border areas of Alsace (al-SASS) or Lorraine next to Germany and Switzerland. Many came to the USA or Canada between 1750 and 1825 and may have had German first names. The Huguenots had been persecuted many times since the 1570's but they had most often escaped to Holland, Germany, or even England before coming to the New World. In the 1700's they just migrated directly to America.
The other theory is that DESCHAMPS was always a French Catholic name and that some members of this group just came to Canada (Quebec or Acadia, later Nova Scotia) with other early French settlers or to New England in the 1600's, from where they spread to other parts of North America.