Oh, I get it. I guess that makes sense, because the vendors probably do not provide the files in a helpful way themselves. So, parsing HTML it is!
But for OpenMoji, you just need the code point, and then you can get the corresponding 72×72 png from openmoji/color/72x72 at master · hfg-gmuend/openmoji · GitHub (or SVG if you like).
So, after you find the code point in the HTML, grab the corresponding file that way, instead of extracting it from another column.
For example: 
= 1F929 → https://raw.githubusercontent.com/hfg-gmuend/openmoji/master/color/72x72/1F929.png
Although, actually — Today I Learned that the Twitter emoji set is also open source. That’s awesome, Twitter! GitHub - twitter/twemoji: Emoji for everyone. https://twemoji.twitter.com/ · GitHub, and you can get those in the same way — e.g, https://raw.githubusercontent.com/twitter/twemoji/master/assets/72x72/1f929.png (although annoyingly the two sources are inconsistent with upper vs lower case).
