I'm no expert on Catholic doctrine but I believe that the Church accepts the existence of mental illness.Both depression and schizophrenia are clearly documented to involve abnormal chemistry of the brain and,as a result,I'd be *very* surprised if she was denied a Catholic burial.
There’s a parallel in orthodox Jewish theology for those who are considered to have been “as distressed as Saul” (of the Old Testament, who fell on his sword rather than accept humiliation). Where the act is considered as though it were not willed by a reasoning person, although personal choices may have played a part in getting the person into the situation in which the act occurred.
“I am curious as to why the Catholic Church was willing to give her a church funeral, given that she was a suicide.”
...I wonder why the Catholic Church is willing to allow any of these abortion supporting, pathetic excuses for human beings into the church in the 1st place.