This might be your Arthur b abt 1902-1903. From census data - and location this Arthur appears to be the son of William b abt 1867 and Annie Willis. The childrens names seem to match.
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Good Luck
U S Census, 1940 Sleepy Hole Magisterial District, Nansemond, VA
https://familysearch.org/pal:/MM9.1.1/VRBV-W37
head Arthur Willis M 30 VA
wife Roberta Willis F 39 VA
son Thomas Willis M 20 VA
dau Viola Willis F 18 VA
dau Georgana Willis F 15 VA
son Willis H* Willis M 13 VA
dau Berta M Willis F 8 VA
son James Willis M 6 VA
dau Cora T Willis F 3 VA
son Richard Willis M 0 VA
United States Census, 1930 Sleepy Hole, Nansemond, VA
https://familysearch.org/pal:/MM9.1.1/CF95-RW2
head Arthur Willis M 28 VA
wife Roberta Willis F 29 VA
son Thomas Willis M 10 VA
dau Viola Willis F 8 VA
dau Georganna Willis F 6 VA
son Henry R Willis M 3 VA
dau Annie L Willis F 1 VA
U S Census, 1920 Nansemond, VA
self William Willis M 53y VA
wife Anna Willis F 46y VA
son Richard Willis M 28y VA
son Arthur Willis M 17y VA
son Jonnie Willis M 21y VA
son David T Willis M 10y VA
son William Willis M 5y VA
dau Jennett Willis F 24y VA
Grand dau Margarette Willis F 4y3m VA
Grand son James A Willis M 2y1m VA
Grandson Elija Willis M 2y7m VA
US Census, 1910 Sleepy Hole, Nansemond, VA
https://familysearch.org/pal:/MM9.1.1/MPG9-RL9
self William Willis M 43y VA
wife Anna Willis F 39y NC
son Richard Willis M 19y VA
dau Mary Willis F 17y VA
dau Jennette Willis F 14y VA
son John Willis M 12y VA
dau Martha C Willis F 9y VA
son Arthur Willis M 7y VA
son David Willis M y 3m VA
