Micropython on RP2040, ImportError: no module named 'lcd_module'

I am running MicroPython v1.23.0 on 2024-06-02; Raspberry Pi Pico with RP2040 and I'm trying to import a module that I have written (called lcd_module). However, I keep running into this import error.

I am using VSCode and when I hover over the import lcd_module statement, the editor seems to recognise that lcd_module is indeed a valid module, so I'm not sure what's going wrong here.

Here is my directory layout:

my_name.py
lcd_module /
    __init__.py
    touch_lcd_lib.py

Within my_name.py:

import lcd_module

if __name__=='__main__':
    LCD = module.LCD_1inch28()
    Touch = module.Touch_CST816T(mode=1, LCD=LCD)

Within __init__.py:

from touch_lcd_lib import LCD_1inch28
from touch_lcd_lib import Touch_CST816T

And within touch_lcd_lib.py

from machine import Pin,I2C,SPI,PWM,Timer
import framebuf
import time


#Pin definition

# I have changed these to match my XIAO rp2040 pinout
I2C_SDA = 6
I2C_SDL = 7
I2C_INT = 29
I2C_RST = 0

DC = 26
CS = 1
SCK = 2
MOSI = 3
MISO = 4
RST = 27

BL = 28

#LCD Driver  
class LCD_1inch28(framebuf.FrameBuffer):
    def __init__(self):
        <omitted for brevity>

class Touch_CST816T(object):
    #Initialize the touch chip
    def __init__(self, ... <omitted>):
        <omitted for brevity>

To me everything looks good, but like I say, when I run my_name.py using the VSCode MicroPico plugin, I get

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
ImportError: no module named 'lcd_module'

When I tried using a similar directory structure with standard Python on some example files, everything seemed to be working fine, so I feel like I'm missing some MicroPython information about modules.

I also tried using relative imports. Chaning the import in my_name.py to

from .lcd_module import LCD_1inch28
from .lcd_module import Touch_CST816T

gives the error

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
ImportError: can't perform relative import

and without the .s before lcd_module I just get the same no module named error as before.

Thanks for your help!