Are the Dragon names based on anything?
It seems some of their names have parts which relate to their nature:


Weisslogia: Weiss or Weiß is German for "white". Sting performs White Dragon Slayer to produce beams of sacred light, so we can see how White factors into Weisslogia's name.
Metalicana: Obviously, the use of Metal in its name reflects the Iron Dragon Slayer Magic Gajeel uses
Skiadrum: Skia or "σκιά" is Greek for shadow, and Skiadrum is the Shadow Dragon.
Atlas Flame: Atlas is the name of a Greek god, but I do not know how it would relate to the character. Images I have seen of this dragon show that it's totally wrapped in flames, and its title is also the Flame Dragon
Motherglare: This may be related to its Egg Magic. In most cases, mothers use a form of egg to give birth to children. In a lot of fictional works, Dragons lay eggs to give birth.
Scissor Runner: May be a reference to the two huge spines coming out of the top of its head and its chin
Rock/Dark Dragons: Obviously for their appearance. However, those aren't their names, but how they are referred to due to their appearance.
(Revire has a somewhat aquatic appearance, and its name is pronounced as "Rivaia", which kinda sounds like river. However, that is a long shot.)


I couldn't find anything on Acnologia, Igneel or Grandeeney.

I should point out that I have not read the manga nor watched enough of the anime (I have seen like 50 episodes), and I found out all of these by google searching for images, picking apart their names and looking up Wikipedia articles. Someone else may have a more accurate answer. These are just my observations and may help others fill in holes in their own research.