I've heard of no proven link between schizophrenia, ADHD, and OCD.
The three conditions have all been connected to the frontostriatal region of the brain, which includes the prefrontal cortex. But that does not imply that they are associated, merely that they have a brain region in common.
To vastly simplify -- as we must if we laypeople are to understand anything at all about brain function -- ADHD and OCD are somewhat considered at opposite ends of the neurochemical spectrum. That is, with ADHD, the prefrontal cortex is thought to be underactive; with OCD, prefrontal cortex activity is thought to be overactive.
But alas, the human brain is exceedingly complex, and it's common enough for ADHD to co-exist with OCD.
As for schizophrenia, one study indicates that young people who have ADHD and have a close relative with schizophrenia could be at greater risk for developing schizophrenia.
http://pn.psychiatryonline.org/content/37/24/22.2.full
While it's definitely possible for a person to have all three conditions -- genes mix in mysterious ways -- it's also possible that the person's symptoms have been misdiagnosed.
For example, sometimes a person with undiagnosed ADHD has developed coping strategies that assist in staying organized and on schedule. To the less-than-astute clinician, these often-rigid habits might appear as OCD.
It's also not beyond the pale for ADHD to be misdiagnosed as schizophrenia -- especially in decades past.