Of course much so-called Mexican food might be considered authentic by some,
and not by others.  Different regions have different styles of cooking.  I
am sure that most of the Mexican food we get in Southern California is a
gringo version of the original, but I love much of it anyway.

Joy

Grandma likely has some sort of stew on the stove that will be served with
warm tortillas.  Maybe Pozole or Chili Colorado or Chili Verde.  There is
probably a pan of cooked seasoned pinto beans onthe back of the stove as
well.  And a pot of rice cooked with some oil and tomato paste.  Maybe with
some broth as well.

There's a small griddle on the front of the stove and a stack of tortilla's
near by.  Probably corn tortillas.

There is most likely a dish on the table with some kind of salsa as well as
a bottle (or two or three) of hot sauce.

You would likely get a bowl of stew, some beans and rice and maybe even a
fried egg on top of your stew.

(Middle grandson learned to like Menudo when he was at a friends and
hungry.  Oldest grandson is pretty good at cooking Carne Asada as he
learned from another friend.
Youngest daughter still makes eggs every weekend like we learned at a
campfire in Alaska.  Fry up some ham and torn up corn tortillas.  Add
onions and mild peppers tomatoes and stir till those are done.  Then stir
in a bunch of  eggs.  Continue to stir and cook until the eggs are set.
Top with cheese and serve with hot sauce.

Jo

There used to be a place like that in Fowler, CA.

There's a little truck stop just off state route 99. It has one shower
stall (most truck stops have quite a few), no laundry facilities, just a
lot of truck parking space, clean restrooms, and fuel pumps. When I first
started stopping there in 2001 there was a little taco place next door. It
was a large catering truck ("roach coach") permanently moored on a
concrete pad with a bunch of picnic tables. They made the absolute best
tacos I've ever had, and they sold ingredients to locals. None of the
staff spoke much more English than they needed to be able to take orders,
but who cared? They made wonderful tacos.

Life kept me away from there for a couple years. When I returned in 2003
or so I was shocked - the roach coach was gone! In it's place was a real
honest-to-goodness restaurant. A real building, inside seating, etc. The
tacos were still good, but just not the same. I miss that place.

Come to Nashville and drive down Nolensville Rd.  There's plenty of
Mexican Mexican restaurants.  There's bound to be Mexican Mexican
restaurants in Memphis.

Bud