You should be using pageX or pageY, like this
$(document).ready ->
$(document).mousemove (e) ->
console.log("#{e.pageX}")
console.log("#{e.pageY}")
If you need to get the position relative to a div for example
$(document).ready ->
$(document).mousemove (e) ->
console.log("#{e.pageX - $('#divID').offset().left}")
console.log("#{e.pageY - $('#divID').offset().top}")
Applied to your case, it would give you something like this
$(document).ready ->
$('p').mousemove (e) ->
console.log("#{e.pageX - $('p').offset().left}")
console.log("#{e.pageY - $('p').offset().top}")
And moving your mouse over the paragraph containing your text will give you your mouse position inside the paragraph
see it working here
http://jsfiddle.net/zXnk9/
EDIT
If you need to get the index of the character you are hovering you could use a trick like so:
Wrap your text inside a container that is exactly the width of your text
<span>The quick brown fox jumps over the lazy dog</span>
And then make the following calculation
$(document).ready ->
// define the container for the text you are intersted in
container = $('span')
// on mouseover
container.mouseover (e) ->
// get container width
container_width = container.width()
// compute the avg character width base on the container width and the number of characters contained in your text.
// (If you have some complex formatting inside your container, you would have to adjust this calculation.)
char_width = p_width / container.text().length
// get the position of your mouse inside
position_inside = e.pageX - container.offset().left
// define the index of the character you are interested in
char_index = Math.floor(position_inside / char_width) - 1
// use it as you wish
// print it for example
console.log("#{char_index}")
You can check it working here.
I've set the event to click so that you can try it precisely on the f of fox, it returns 16.
http://jsfiddle.net/zXnk9/1/
EDIT 2: for a reliable way of doing what you are trying to do
When loading the document, put every character inside the container into an html node, like this
$(document).ready ->
// set your container
container = $('span')
// define a replacement text string
replacement_container_text = ''
// iterate over each character inside your container
$(container.text().split('')).each (i, char) ->
// put it inside a span and add it to your replacement text string
replacement_container_text += '<span>' + char + '</span>'
// set the replacement text string as the html content of your container
// this replaces the original text with the initial text with each
// character wrapped into a span
// (which can then be caught as targets for your mousemove events)
container.html(replacement_container_text)
Then you can just get the index of the character on which your mouse is positionned with the following
container.mousemove (e) ->
range_start = container.children('span').index $(e.target)
console.log(range_start)
This will work with multi line containers, with paragraphs, etc.
See working example http://jsfiddle.net/2TBFV/