Hi Bobby,

The Drouin Collection of Acadia births, marriages, and deaths has a record of their marriage. I have access through Ancestry.com. It's only an image though, so I'll transcribe the record for you:

1903 - Comte (that's County in French) St. Jean (Saint John)
Groom: Hutchinson, Robert, age 31 residence: Saint John, birthplace: New Brunswick, bachelor, profession: mechanic, parents: Robert & Mary
Bride: King, Catherine, age 23, residence: Saint John, birthplace: Saint John, spinster, parents: Chas & (illegible - could be Mary or Har..)

Given the above, the possible 1901 census record for Catherine (Kate) might be:
District: NB SAINT JOHN (#21)
Subdistrict: Sydney (Ward/Quartier) G-1 Page 26
26 49 290 King Charles M Head M unkn 1845 55
26 50 290 King Mary F Wife M unkn 1847 53
27 1 290 King Mary I. F Daughter S Mar 17 1875 26
27 2 290 King Kate A. F Daughter S Mar 25 1877 24
27 3 290 King Gertrude A. F Daughter S Jan 1 1879 22
27 4 290 King Fred A. M Son S Oct   1880 20
27 5 290 King Beatrice L. F Daughter S Mar   1883 18
27 6 290 King Frank C. M Son S unkn 1884 16
27 7 290 King Laurett F Daughter S Feb 3 1886 14
27 8 290 King Veronica F Daughter S Jan 13 1889 12
27 9 290 King Monica F. F Daughter S Apr 23 1890 10
27 10 290 Riley Joseph M Head M Dec   1861 39


The closest thing I can find for a Robert Hutchison in 1901 with that age is a boarder of this family in Saint John:
District: NB SAINT JOHN (#21)
Subdistrict: Wellington (Ward/Quartier) H-1 Page 23
23 19 231 McKay James M Head M May 24 1847 54
23 20 231 McKay Dianah F Wife M Dec 15 1865 36
23 21 231 McKay Annie F Daughter S Aug 6 1877 24
23 22 231 McKay Robert M Son S Jun 22 1887 14
23 23 231 McKay Catharine F Daughter S Jun 21 1889 12
23 24 231 Hutchison Robert M Boarder S Aug 1 1873 28
23 25 231 Spencer Odbur M Boarder S Mar 27 1878 23


For the 1881 census Robert Hutchinson born 1873, I find the following - I take it that this is your Kent County, New Brunswick link:
Name Marital Status Gender Ethnic Origin Age Birthplace Occupation Religion
Robert Hutchinson M Male Irish 69 Ireland Farmer Presbyterian
Mary Ann Hutchinson M Female English 52 New Brunswick Presbyterian
Permelia Hutchinson Female Irish 27 New Brunswick Presbyterian
John C. HUTCHINSON Male Irish 25 New Brunswick Presbyterian
Annie Hutchinson Female Irish 22 New Brunswick Presbyterian
Diana Hutchinson Female Irish 16 New Brunswick Presbyterian
Heppie Hutchinson Female Irish 14 New Brunswick Presbyterian
William Hutchinson Male Irish 10 New Brunswick Presbyterian
Robert Hutchinson Male Irish 8 New Brunswick Presbyterian
Havelock Hutchinson Male Irish 5 New Brunswick Presbyterian
Andber Hutchinson Male Irish 3 New Brunswick Presbyterian
----------------------------------------------------------------------------
Census Place Harcourt & Huskisson, Kent, New Brunswick
Family History Library Film 1375821
NA Film Number C-13185
District 34
Sub-district I
Page Number 25
Household Number 101+

And for Catherine (Kate) King:
Name Marital Status Gender Ethnic Origin Age Birthplace Occupation Religion
Charles KING M Male Portugese 35 N. B. Liquor Dealer RC
Mary KING M Female Irish 25 N. B. Roman Catholic
Elizabeth KING Female Portugese 12 N. B. Roman Catholic
Louis KING Male Portugese 8 N. B. Roman Catholic
Mary KING Female Portugese 6 N. B. Roman Catholic
Katie KING Female Portugese 4 N. B. Roman Catholic
Gertrude KING Female Portugese 2 N. B. Roman Catholic
Frederick H. KING Male Portugese <1 Born: Oct; 6/12 N. B.
----------------------------------------------------------------------------
Census Place Sydney Ward, Saint John, Saint John, New Brunswick
Family History Library Film 1375814
NA Film Number C-13178
District 24
Sub-district F
Page Number 43
Household Number 199


I'm sure you probably have this - but Robert & Catherine had a son in 1908 as can be found on the New Brunswick Archives website:

RS141A5
Index to Provincial Registrations of Births
Child Hutchinson, RONALD KING
Sex M
Date of Birth 1908 | 07 | 10 (Y-M-D)
Place SAINT JOHN
County SAINT JOHN
Father Hutchinson, ROBERT
Mother KING, CATHERINE
Number 3550
Code A5/1908
Microfilm F19015


Hope this is of some help to you,
Many regards,
Laurie Caron