Confusion - a question about heritage...?

Question:

Celtic/Gaelic/Confusion - a question about heritage...?

I'm somewhat a newbie at genealogy/family history, and I have some basic cultural questions to ask. My maiden name is Colbath, which I've been told is Ulster-Scot. It comes from Galbraith (lowland Scots, I believe). Also, my grandmother's maiden name is Kinney, which I'm fairly certain is Irish, with the "Mc" dropped. An online source leads me to belive this name also comes from Ulster. I'm having a great deal of trouble researching the Kinneys, so I really have no clue. Are either of these names Celtic and/or Gaelic? Also, I am unclear of the differences between the Celtic and Gaelic peoples. Can someone break this down a bit for me, please?

Please only answer if you have experience in this area... Thank you in advance! ^_^

Additional Details

1 week ago
Surnames on my father's side: Colbath, Carson, Banner

Surnames on my mother's side: Wells, Kinney, Austin, Striedel (German)

Best Answer - Chosen by Asker: 1 week ago
Surnames on my father's side: Colbath, Carson, Banner

Surnames on my mother's side: Wells, Kinney, Austin, Striedel (German)