Home: From the Late Latin (Spanish) *focaris*, which in turn derives from…

Hearth:
From the Late Latin (Spanish) focaris, which in turn is derived from the Latin focus, meaning ‘fire’, ‘hearth’.
1. m. A place where a fire is lit, such as in kitchens, fireplaces, foundry furnaces, etc.
2. m. Home or residence.
3. m. Family; a group of related people living together.
4. m. shelter (‖ charitable institution).
5. m. A leisure centre where people who share a common activity, personal situation or background gather. A home for pensioners.
6. m. p. us. bonfire.
open hearth
1. m. a hearth where combustion takes place in direct contact with the air.