I tried to find your answers, but so far no luck
I will give you what you may already have, so if I repeat, please forgive me.
One thing, I never could find on the census, or any other records any mention of Vernon with this family.
The only thing I could find was a social security death index of Vernon McArthur. the ssdi had his dob as 9/8/1898, not the 10/20/1897 you listed. His dod was recorded as 1993 in Woods, Oklahoma
I did find the 1910 Beckham OK census
on this census, it states that Lula had birthed six children, but only four alive.
Lula 39 b. 1893 in Ark, as well as both of her parents
Ora 17 TX
Avie L. 16 TX
vivian d. 12 OK
Everett L. 9 OK
Charles C. Ok
Ben and Lula were married in 1891
in the 1920 the family was living in Custer, OK
Ona E. 27
vernon D 22 ( so I am assuming the spelling 10 yrs earlier was incorrect)
everett L. 19
Perry Charles 16 ( again, it went from Charles C. to Perry Charles)
I do not know if you have information on Lula and Benjiam.
I did find where Benjiam Franklin McArthur was born 1859 in Ark
His father was William G. McArthur. born 1818 in NC and died 1881 in Texas
his mother ws elizabeth Ellen Magness born 1819 also in NC
in the 1800 Independence Ark censu
Wm. G. 61
Eliz. A. 61 nc
Lula's parents were
Perry g. Braddock 1840 SC both parents b. in SC
karen happuck Jones.. she went by Hap. b 1843 Al, her father was born in Sc, her mother in AL
1880 Waco Texas censu
Perry G 40
George W 12
one note, Lula died 10/7/1928 in OK
as I said, you may already have this.
I am sorry I could not find anything else to be able to send you