Here are the meaning of all the characters names...some may be roughly translated.
Inuyasha- Dog Demon
Kagome- everlasting Light
Sango- coral
Miroku- A messiah sent by Buddha
Myouga- Divine Protector
Shippou- Animal Tail
Kirara- Mica
Sesshomaru- Destruction of Life
Rin- A companion
Jaken- Evil Sight
Kohaku- Amber
Naraku- Hell
Kagura- Shinto dance
Kana- a Canna Lily
Kikyou- An actual flower in Asia is called Kikyou
Bankotsu- Reckless Courage
Jakotsu- Sanke Bone
Kouga- Steal Fang
Ayame- Iris
Kaede- Maple Tree
Hojo- Assistance
Onigumo- Demon Spider
InuTaisho- Leader of the Dog Demons
Souta- Dashing
Hiten- Fly Heaven
Manten- Full Heaven
Souten- Poit an Issue
Buyou- Extreamly Fat
Izayoi- Sixteen Nights
Other word meanings that you might hear throughout the show
Shikon no Tama - Jewel of 4 Souls
Tetsusaiga - Iron Breaking Fang
Tenseiga - Heaven Life Fang
Kaze no Kizu- Wind Scar
Osuwari- sit
Touga- Fighting Fang
Inuyasha no Mori- The Forest of The Dog Demon