For those who have missed the previous postings on ByBys (and I suspect your numbers are legion, because there have been no postings in reply) - Tony found this little place on Washington Street by the tracks in West Chicago. Big Gyros and hot dog signs in front (probably related to previous owners they bought it from), a tiny counter and maybe 4 little tables inside a place that is the size of the counter at a McDonalds. Menus, which are growing, are on the walls.
I know now it is run by a family from San Luis Potosi, and they feature an amazingly wide range of Mexican food, featuring primarily Quesadillas, Tacos, and now Huaraches. But they also have specials - one time I tried their Calabaza Relleno (yes, breaded, cheese-stuffed zucchini in a light chile sauce). And who knows what they will add next. Someone there likes to cook.
They have now papered an entire wall with new menu offerings, primarily Huaraches with various toppings, from eggs to cactus, to ham, to maybe 10 other offerings that I do not recall. But they have also added a few miscellaneous items, inclduing "Tortilla Oaxaquena" which sure looks like a Tlayuda.
Ran over for lunch with a friend and ordered the Tlayuda, Huarache con Nopales, and a Huitlacoche Quesadilla (they also purport to have Flor de Calabaza, but have been out each time I asked). The Tlayuda is properly prepared, large and chewy, with asiento, meat (carne asada, not cesina), a little lettuce, tomato and avocado. Salty, chewy, a little spicy, and excellent. The Huarache was good with a tangy green sauce, scads of Nopales and a dusting of queso fresco. The Quesadilla was real, heavily cheesed, chopped peppers, and lots of Huitlacoche. It had more cheese and peppers than the last time I went, so the richness and earthiness of the Huitlacoche did not dominate totally. Less intense, spicier, and more accessible for my friend. Still good.
I started out enthusing about ByBys because it is out here in the far west and offers food I cannot find within 20 miles (gotta go to Joliet or Cicero, I think). But with the new menu, and apparently a defter hand at the stove at lunch, this place is just plain good and worth a detour. Find a way to go check it out.
Sorry, do not have the address or hours here, though I am pretty sure they are open Monday trhu Saturday til 8 or 9p. Washington Street just east of the rr tracks, south side of street in West Chicago. And you can search for the previous postings.