Considering that there were no parish records or civil records, no birth certificates, no baptism records or marriage records banns or certificates, no death or funeral records and people didn't have surnames then

Autosomal is more complicated. You got Autosomal 50-50 from both parents but when your parents passed on the Autosomal they received from their parents to you it went through a process called "meoisis" where it was randomly jumbled and recombined. So while you got 50% from your father's side and 50% from your mother's there usually will be a bias in what you inherited from grandmother and grandfather on both sides of the family. How you inherited any bias will not be how your siblings inherited it unless you have an identical twin. Therefore if you and one of your siblings had the test by the same company on the same day the results will not be the same. You might have more Spanish Autosomal from a grandparents and your sibling might have more Indigenous Autosomal from another grandparent. Also there are no Haplogroups with Autosomal. The only thing they can do is match you with population samples they have in their database. Therefore if you have your Autosomal tested by more than one company the results will vary. That is no doubt because one might not have or be deficient in certain population samples another has and vice versa.

Now how it can be helpful if you are involved in traditional genealoogy using documents/records if the company you use has any distant cousins in their database they can match you with those cousins. Often times making contact with cousins enables you to collaborate information with them. Actually I don't believe any DNA testing for genealogy is useful unless a person is involved in the traditional research using documents/records.

It appears the 3 leading companies are FamilyTreeDNA, 23andme, and Ancestry.Com

says

"Like the members of other Native American tribes, Cherokees have access to free health care at tribe-run clinics and hospitals. Prescription drugs, eyeglasses, and hospitalizations are all covered under this system, which the tribe operates with funding from the federal Indian Health Services. (The quality of care isn't always the best; in the 1970s the IHS was even accused of sterilizing women without their consent.) The tribe's housing authority also uses government money to help Cherokees buy and remodel homes."

It mentions scholarships and first dibs at jobs in the tribal casino. While some tribes give members a cut in the profits of tribal casinos, the Cherokees don't.

And it warns:

"Want to join the Cherokee Nation? You might be one of the 750,000 Americans who claim to be a rightful member, but you'll need to prove it. In order to gain membership, you have to use birth and death records and other official documents to show you're a direct descendent of somebody listed on the Dawes roll, a tribal census taken from 1899 to 1906."

That's the end of the part I cut and pasted. Two notes:

"CLAIM" - There are less than half that many who are really card-carrying members.

College scholarships - for any tribe, not just Cherokee - are just like the ones you can apply for if you are the child of a teamster, an Elk, a Mason, a Civil War veteran, etc. - you apply, and compete with others who are also children of Chreokees, Teamsters, Elks, etc. There are always more applicants than scholarships.

You have plenty of documents needed to determine his date and place of birth. The only things left would be to get a 1920 federal census record via ancestry.com if you know where he was living in 1920 or a school record - the earlier the better.

Many people have two middle names. Some people, like Harry Truman, didn't have a middle name at all and gave himself the initial S as a middle name. And sometimes mysteries remain mysteries; you will probably never know the answer regarding his middle name/initial.

I worked for SS for 32 years and depending upon what part of the country a person was born in a surprising # of births didn't get recorded at the county or state level even though they were born in the 1920s. We got lots of what we called "convincing evidence" to establish/prove a person's date of birth, e.g. federal census records, early school records, religious records, etc. The earlier the document the higher it is in value.

You probably would have had better luck in getting more answers if you had put this under genealogy instead of government. It is really a genealogy issue.

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Citing this Record

"United States Census, 1940," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/KQ... : accessed 20 Sep 2014), Ruth Lewis in household of John Lewis, Assembly District 7, Brooklyn, New York City, Kings, New York, United States; citing enumeration district (ED) 24-841, sheet 11A, family 247, NARA digital publication of T627, roll 2568.

if John is the sibling he was riding WITH... THEN it could only be Howard. Florence and Dorothy are not uncles. This record is consistent with being 5 children. If someone says 12, they need to come up with the other 7. They could be confusing this family with another one (maybe Ruth or John Sr was one of 12). There is a gap between ages, meaning it is POSSIBLE there was another child in there, but the wording of the statement says it happened in 1943. Any child born after the census would not show here.. but would have been very young to be out on the street. Not impossible.
Keep digging to find when the other siblings died, and try for an obituary. If Howard lived, he would show up in other records.