They’re basically the same thing, but according to early findings from research[1] published on Tuesday by the Yale Program on Climate Change
Communication, it’s probably safe to assume that most Americans would prefer natural gas because it simply sounds nicer. After all, it’s “natural.”

‘Natural gas’ or ‘methane’? Americans see a big difference.
https://grist.org/energy/natural-gas-or-methane-americans-see-a-big-difference/
#merica