HTML5 and Easy Fancybook

I created a shockwave flipbook with inDesign and it opens in a lightbox using Easy Fancybook Pro which is what I want. I used a button on a Woocommerce product page and it works fine (opens in a lightbox). It looks nice but is not responsive and being flash will not open in iOS devices. I used some software to create the flipbook in an HTML5 file which I uploaded to my site. I attached it to the button (the index.html file) and it opens but in a separate window and not the lightbox. Is there any way to get the HTML5 flip book to open in the lightbox like it does with the .swf file?