Here are the main branches of the external carotid artery and where they generally supply. I’m trying to think of these in light of the bigger picture. All the obscure little branches will come.
Here are the 3 main branches of the maxillary artery and some of the small branches that come off them. Knowing Latin has become more useful as time passes. I recommend knowing what words mean. It makes it easier to remember why something is called what it is. Medical-dictionary.thefreedictionary.com has been super helpful. anatomyexpert.com had also been really helpful for that reason. Sometimes they have interesting facts about the prices of maiming whatever it is. Happy studying.