I'm sorry, but IMHO this "solution" is completely arbitrary.
(1) You started in the middle of the book, at some arbitrary location, then pick parts of the text to fit your names? You've simply pulled information out of the text that fits what you want it to reveal. What relevance does this hold for the entire book, the entire chapter, and the theme?
(2) The people you picked for having been born on the 22nd are also picked for the way they fit your idea, not because they innately reveal any patterns.
(3) Your selection of letters from these names follows a pattern until it stops giving you information, then it needs to be changed to get more information. If it were really revealing something valuable, it should not have to be changed, unless there were some good reason for it--and just to find letters that fit your supposed solution is not a good enough reason.
(4) Your "answer" involves a rock, by an oak, by a lake. Do you have any ideas how many rocks would likely be by how many oaks? That's sorta like saying "dig in the dirt, in some state."
Given any sufficient amount of input, patterns can always be found, especially if you allow yourself to jump around randomly to find them. This is not a solution I can believe.