The phrase "to follow those names" means to seek or pay attention to the people or things mentioned before in order to get more information or updates about them. Full definition
But don't be thrown off if you see the word «meal» following the name of the protein — that's a good thing! (pawster.com)
The audience for these headsets then are already going to be informed enough that they will have been following the names for a good while and know what they're getting. (t3.com)
Put your name at the beginning of the resume, with contact information on separate lines, immediately following the name. (thebalance.com)