marriage which took place would be in a separate register -- baptisms and births, marriages and deaths all have their own registers.
See The Three R's of Researching Roman Catholic Church Records by Lisa Alzo | May 14, 2013 from Archives.com's Ask the Experts section:

Deaths, Burials and Cemetery Records. Parishes may have detailed
  records of deaths and/or burials (in particular if the church has its
  own cemetery). Such records can include the name of the deceased
  (including maiden names), age at death, date and place of death or
  burial, the name of the informant, and whether the sacrament of
  Extreme Unction was received. The birthplace of the deceased may also
  be listed (if the deceased was an immigrant, perhaps even his or her
 town or village of origin). 

(emphasis mine)
The header for column four says "Names of parents, or wife or husband" which suggests that parents' names are recorded when the deceased is a child, and when the deceased is married the spouse is listed.  In the case of someone who is married, to find parents' names you need the marriage or baptism/birth registers.  
In addition to the other resources list at the bottom of Alzo's article, see:

FamilySearch.wiki:Roman Catholic Church in the United States
Catholic records Research Guide at the National Archives (UK)

