Grief Support Groups Not Affiliated Or Sponsored By Churches

Are there ANY grief or loss support groups (preferably in north Jefferson or Blount counties) that are NOT affiliated with or run by a church?

My health insurance only offers therapy through two places that I wouldn't send my dogs to. I can't afford to see an out-of-network counselor or threapist.

I've asked my GP and asked on Facebook, and everything everyone comes back with is church-based. As an atheist, this doesn't really appeal to me.

Does anybody know of anywhere I could try other than a church group or a shrink?