confused about JavaScript libraries in wordpress

Hi. I am a little confused about something.

I have created a child theme for an existing theme. I have added some custom JavaScript and jquery using the child theme. Now I know in order for that js to apply to the website, it needs the JS and Jquery libraries. Now the parent theme does use JS and Jquery, but all of the links point to the parent themes folders, not to the JS library website. What I am wondering, is do thease folders contain everything I need for my child themes JS and Jquery to work, or do I need to included in my child themes header file a link to a JS library on the internet?

Here is the link to the website i am building for if you want to inspect it for libraries. You can see the links to the responsive parent theme, as well as a link my my responsive child theme. http://adrianhoulewebprojects.com/JacquesHoule/

Basicly I am asking if my child theme can piggyback the includes of the parent theme, and if the parent theme most likely has the correct includes for JS and Jquery.

Thanks for any replies.
Cheers,
-Adrian