More puzzle pieces, will take some looking on your part.
Looking at the data below, it might be that Ethel M. was really born Ethel M Crossbar or Crosby, daughter of Dexter B Crosby and Emily Thayer.
And that she married first Jerome Kime and had Walter. Something happened to Jerome - and Ethel Kime (not Hines) married Frank Fuller.
Mildred on her marriage record has parents Frank Fuller and Ethel Crossbar or Crossby.
Walter's records show his parents as Jerome Kime and Ethel Crossbar.
And from yesterdays answers Ethel parents on her marriage cert to Frank listed her parents as DB Crossxxx and Emily Thayer. So it seems to all fit if you take into account typos and transcription errors!
Ohio, Deaths, 1908-1953
name: Walter Kime
Death 24 Jan 1925 Dayton, Montgomery, OH
residence: 29 Walnut
Male Married White Machinist
death age: 30y 2d
birth date: 22 Jan 1895 Alabama
burial date: 31 Jan 1925
cemetery: Mont. Co. Inf. Cemetery
father: Jerome Kime : Pennsylvania
mother: Ethel Crossbar Michigan
Michigan, Marriages, 1868-1925
groom Wm. A. Vansickle
age: 39 years birth 1879 Flint, Mich.
groom Jesse L. mother: Martha Miller
bride Mildred L. Fuller
age: 16 years birth 1902 Burt, Mich.
marriage type: License
marriage date: 10 Jun 1918 Saginaw, Michigan
father: Frank J. (Fuller) mother: Ethel M. Crosby (Crossbar)
image number: 592
reference number: v 5 p 24 rn 24960
Michigan, Births and Christenings, 1775-1995
Walter L. Kime Male
birth 22 Dec 1895 Dothan, Michigan
father Jerome Kime
mother Ethel M.
indexing project (batch) number: C01298-9
US Census, 1880 Albee, Saginaw, MI
Effa M. Crosby F 2 MI
father: Dexter B. Crosby 43 NY
mother Emily Crosby 40 NY
sister Mary E. Crosby F 20 MI
sister Catherine M. Crosby F 14 MI
United States, 1890 Census of Union Veterans and Widows of the Civil War
name: Dexter B Crosby
Census 1890 Taymouth, Saginaw, MI
# 17 Dexter B. Crosby
Private Company A 24th Regiment Michigan Infantry
Aug 8, 1862 - Aug 12, 1863
Post Office address Burt, MI
House # 113 Family # 113
nara publication title: Schedules Enumerating Union Veterans and Widows of Union Veterans of the Civil War,1890. #M123 roll 18 film 338177