I couldn't find the brothers anywhere in 1910. I did find a child in

1910 who might be your Frank. No luck with Eddie.

1920 Census Ward 1, Bossier Parish, LA
Samuel Jefferson Head M B 46 married b. LA Father LA Mother LA
Eliza Jefferson Wife F B 42 married b. LA Father LA Mother LA
Rosa Jefferson Daughter F B 16 single b. LA Father LA Mother LA
Fanny Jefferson Daughter F B 13 single b. LA Father LA Mother LA
Frank Jefferson Son M B 10 single b. LA Father LA Mother LA
Lissa Jefferson Daughter F B 6 single b. LA Father LA Mother LA
Samuel Jefferson SOn M B 4 single b. LA Father LA Mother LA
Thomas Jefferson Son M B 5 single b. LA Father LA Mother LA