I strongly suspect at least some of the children were born in Missouri, census records indicate so,
MarriageRandolph County Missouri: Ed Blake of Moberly MO Randolph County. to Miss Callie Gulick of Moberly , under 18. The father J.T.Gulick of the said Miss Callie Gulick has given her consent to the said marriage21 January 1902 , by Samuel B. Moore pastor of the Central Christian Church ( Lic 18 Jabuary)
1900 Randolph Co Mo. Moberly Ward 1 dist 141 image 25 664 North Ault Street 281/327John Gulick Dec 1845, 54, marr16yrs, b Va Fireman RR Coal Depot. FrancesFeb 186238 marr16yrs, 4chb, 4liv, b Mo Va MO CallieFeb 188515 b Mo. Vexlie?Jan 188613MO ArthurOct 18919" FlorenceMar 19002/12 MO
1900 Moberly NoWard 1 image 27 Edward Blake b Jun 187822 Hotel Porter b IL ME IL living with brother Elick C. Blake42 and family
1910 KS Montgomery Co. Coffeyville Ward 5Dist 170 image 13 1525132/146Edward Blake31married 8yrs, b IL, Sign Painter Callie25marr8yrs, b MO, George7MO" Frances4" Florence 3" John1" Arthur Gulick bro-in-law 18 b MO Laborer R.R.
1920 OK Tulsa WekiwaDsit 190image 13 ( Indexed as Duran) 153/155 Duran? L. Martin 32IN Callie B.35 MO Frances E, Blake 15 MO Florence"13" John T.11 Duran Martin Jr3?
154/156 John T. Gulick74 VA Frances E,59MO.
Findagrave.com Rose Hill Memorial Park Tulsa OK "Callie Beatice Gulick Martindied Jan 1943, died San Angelo, Tom Green Co. Texas (stone says 57 yrs) Daughter of John Thomas Gulick and Frances E. Carter. Wife of Dorus R. Martin. She was a grandmother but descendants have not been located"
This is all I looked up this morning, Did not find any birth records in Randoplh County online. Perhaps the county has records for that time period. Check at the county courthouse. Howard Boswell