Addition to the excellent info/suggestions you've already received:
1. I am sensing that Obed/Obid's death record did NOT contain the maiden name of his mother. Then, you should persue her marriage record(s). You MAY obtain her maiden name.
2. Identify and obtain death records for Peter Brown and Georgia Higgins, if available.
3. Follow the children and obtain their death records as well, which may give you their mother's maiden name and birthplace (perhaps).
4. Search marriage records.
- Married names of female children could lead to:
-- Mother's maiden name
-- Death records and potential obits
-- Children, grandchildren, and existing relatives and their location at the time of the death.
5. Use a timeline for each child/family.
- According to the 1900 census (Dallas), 5 month old Como Brown was born in January of 1900.
At 17/18, he should have registered for the draft, as required.
- A Comer Brown's WWI draft registration record mentions he was born 15 Jan 1900, with nearest relative named "Addie Brown" - living in Kusa? , Okmulgee, OK.
- His 'nearest relative' should be living in Okmulgee in 1917. If he did not serve in the war, he should be in OK with her.
- Where were they during the 1920 census enumerations? Did they have any children by then?
- What about the 1930 census? Any children? Still in the OK area? Perhaps THEY were the branch that moved to KS? Or a neighboring state?
- There is a death record for a Comer Brown, who died in Tulsa in 1966. This SSDI record mentions a birth date of "15 Jan 1900".
- If not a coincidence (think not?), then the death record could mention his mother's maiden name, if known by the informant.
- Perhaps an obit would mention living family members? Not all southern papers were open to posting obituaries of African-Americans until later. Still, a search of the local papers is in order.
- Check back phone directories.
- Check the ZIP code mentioned on the SSDI. Any other 'BROWNS' listed in the SSDI around the same time with that same zip code?
- Were there any city directories for Tulsa for the timeframe? Later City directories are good for searching neighborhoods as well. Any churches in the neighborhood?
Vital records are still an important first tool for piecing together a family history.
Hope this helps...