I found an old serial LCD display in my parts bin and connected it to the ESP-01.
Thanks to Arduino IDE for ESP, I was able to send text to the LCD from a web browser via WiFi without using just the LCD and ESP (and no Arduinos!)
The resistor values are as follows:
LED current limiting resistor = 1K
Pushbutton switch pullup resistor = 1K
Voltage divider resistors = 1K (top), 1.8K (bottom) You can connect FTDI TX to ESP RX directly if you have a 3.3V FTDI.