First, don't use a # as your href instead put #yoursectionID. This will give the A element an automatic click to the ID it is tied to if the JS is turned off (likely the case if screen reader is in use). Next read this: http://www.w3.org/WAI/intro/aria.
JAWS 10+ supports aria, or Advanced Rich Internet Applications. Through this technique, you identify to the screen reader, something changed and it looks for it showing it to the user.