I like everyone's chapters better than Jon's.
Here is my perspective on Catelyn.
She tells Jon that she wishes he'd been hurt instead of Bran. This shows here undeniable spiteful side. Instead of working things out with her husband, she absolves Ned of all wrong in fathering Jon and she pours out all her venom and pain towards Jon.
She neglects all her children and husband when Bran is injured. Here she really starts to show here self-centeredness. She claims it's all about Bran, but it's not... it's about her. Her hurt, her pain, her misery. She begs Ned to stay with her after she pushed him out the door so that she could be the Hand's Hand.
When Summer saves her and Bran, it becomes evident that she has a propensity towards mental instability.
Then she abandons Rickon and leaves the North in the hands of her 15 year old son. A brilliant plan! Her arrogance in believing that only she could deliver this message is unbelievable.
Next, she falls back under Littlefinger's spell. She loved his attention when she was younger and she still did as a married mother of five. Lyssa was right, Cat was a self-centered attention whore.
She plunges the realm into chaos by kidnapping Tyrion. This action directly results in the deaths of her husband and Robb, the captivity of Sansa, and the exiles of Arya, Bran, and Rickon... not to mention the deaths of tens of thousands in the war. Oh, well done little Cat!
Then she lets Lyssa steal Tyrion. Brilliant!
Then she goes to Robb's army, continuing to neglect her obligation and resposibility to Rickon. She feels guilty for neglecting her father and brother for the last 15 years, so she decides to make up for it. It is obvious that she is only reinforcing her poor decision making and her pattern of neglect that she learned as a child.
So after losing a Lannister brother, she proceeds to loose the second. This was the highest treason! Robb took off Karstark's head for his treason, but he barely says a word to his mother... and she thinks this is normal! She never expected to be punished. Again Catelyn shows her willful disobedience and self-centeredness. Her own misery is what she cherishes.
She continually treats her adult brother as a little child. She anguished over her father's passing. But her egotistical nature does not allow her to really grieve or care for her lost and scattered children.
When her fantasy world is finally destroyed with Robb's murder, she goes insane. Think about how Robb, Sansa, and Bran all lived in their own fantasy worlds. They were Tullys to the bone and she taught them to live for themselves and to not face reality. Arya, the one who is a true Stark, was the one (Bran is too young, but it seems he has trouble dealing with reality as well) who can deal with hard truths... just like Jon and Tyrion.
To the end she clung to her false duty, family and honor. She covered her greed with self-righteuosness. In the days of Sansa's songs, she'd have been a great mother, but the harsh realities of intrigue and war exposed her deficiencies and inadequacies as a mother.
The three mothers we see in ASOIAF, Catelyn, Cersei, and Lyssa make me wonder about GRRM's own childhood and his over all concept of motherhood.
Catelyn was a horrible person not even deserving of our pity.