The best way to find what you want is to work backwards from census records to establish where he was and when. Using the obituary, find the census entries for each couple mentioned and extrapolate dates from it.

1930 United States Federal Census > Missouri > Barton > Leroy > District 9
BROOKS, Mrs. Alice, white, 51, wid. b. MO, fa. b. MO, m. b. (written over)
ADAMS, Paul, son-in-law, white, 22, married at age 20, b. MO, fa. b. MO, mo. b. OK, farmer
Mary, daughter, white, 17, married at age 16, b. MO, parents b. MO
Donald, grandson, white, 6/12, b. MO

1920 United States Federal Census > Missouri > Barton > Leroy > District 30
ADAMS, Timothy K., white, 40, b. IL, parents b. IL, farmer
Flora Z., white, 38, b. KS, fa. b. PA, mo. b. KS
Paul Z., white, 12 b. MO
Orval, white, 9, b. MO
Lewis B., white, b. MO
Alice V., white, 6, b. MO
Mary E., white, 4 10/12, b. MO
Kermit C., white, 2 6/12, b. MO
Violett P., white, 2/12, b. MO
ZIEGLER, Eleanor B., mother-in-law, white, 66, wid., b. KS, fa. b. MI, mo. b. CAN (French)

1910 United States Federal Census > Missouri > Greene > North Campbell > District 55
ADAMS, T. K., white, 31, m. 3 yrs, 2 born/2 living, b. IL, parents b. IL, farmer
Flora Z., white, 29, b. KS, fa. b. (written over), mo. b. KS
Paul Z., son, white, 2, b. MO
Orvette G., dau., white, 8 mos, b. MO

1910 United States Federal Census >Oklahoma > Cherokee > Tahlequah Ward 3 > District 11
HAYS, William N., 45, m 15 yrs, b. MO, fa. b. AS, mo. b. IL, carpenter
Bonnie V., 34, m. 15 yrs, 5 b./4 living, b. OK, fa. b. PA, mo. b. KS
(4 children then. . .)
ZIEGLER, Elinor B., mother-in-law, white, 56, wid, 6 born/4 living, b. KS, fa. b. MI, mo. b. CAN

1900 United States Federal Census > Oklahoma > Pottawatomie > Eason > District 198
(next door to William HAYS and Bonnie, Indian, b. Oct. 1874 , mis-indexed as TAYLER)
ZIEGLER, Frank, white, b. Aug 1844, 55, m. 28 yrs, b. PA, parents b. PA, farmer
Eleanor B., Indian, b. Aug 1853, 46, m 28 yrs, 6 b. 4 living, b. KS, fa. b. MI, mo. b. CAN
Frank P., Indian, b. Dec 1872, 27, m. 1 yr., b. KS
Flora D., Indian, b. Jan 1881, 19, b. KS
Clarance G., Indian, b. Sep 1885, 14, b. KS

1880 United States Federal Census > Kansas > Labette > Parson > District 120 (I suspect, looking at the previous family, that birth location lines on census sheet are off by one line and Frank's line was left out.)

ZIEGLER, Frank, 39, cabinet maker, b. ENG, parents b. IRE
Ellenor, 27, Keeping house, b. KS, fa. b. CAN, mo. b. MI
Frank, son, 7, b. KS, fa. b. CAN, mo. b. MI
Bonnie Vera, 5, daughter, b. Ind. Terr, fa. b. CAN, mo. b. MI

1870 United States Federal Census > Kansas > Wabaunsee > Newbury
There is an Elenore, 17, b. KS living with what could be her siblings, all listed as white, no parents present.

Nearby in 1870 United States Federal Census > Kansas > Wabaunsee > Wabaunsee (census taker editorialized in racist way on occupations)
BOURASSA, Alexander, 45, Indian, b. MI, "murders white women in summer time at gov't expense in winter"
Aghnick, 33, Indian, b. MI, "thief"

This is the most I have time to research but this should give you the solid lead that Frank was in Indian Territory when Bonnie was born in Oct 1874. I found no evidence of a Jude BOURASSA but it is obvious that the census of 1870 is editorializing and thus unrelaible.

Regards,
Sharyn (unrelated volunteer)