How to take a snapshot on an android of a mobile website PAGE?

With my Samsung Galaxy S5, I can take a screenshot very easily (just what can be seen on the screen of my cell in 1080 x 1920 size).

In order to replicate a mobile website for presentation purposes, I have to take up to 20 screenshots of a homepage on my phone, email them to myself and piece them together in Photoshop.

Is there an android app that will take a large shot of a full Web page on a mobile phone?

I use a screenshot download on my laptop that takes full pages, but haven't found an app that actually works on a droid. I called Samsung and they confirmed my phone will only take screenshots...not pages. Help?

Screenshots are just that, snapshots of the screen.

In your case, it would be helpful to know what your goal is.
What is the problem you are trying to solve?
(20 screenshots is a proposed solution to your unstated problem.)

Would it make more sense to locally save a static version of the webpage then use a real browser to view that local static page?