Mix together the flour, egg, salty water, making a ball of dough. Knead the dough for about 10 minutes. To prevent the dough from sticking to the surface of the counter, mum put a tiny bit of oil on the counter and continued to knead the dough, instead of lightly dusting the counter with flour.
Cut the dough into wide strips. Using your hands, roll into 8" strips that are about the thickness of your finger. Length doesn't really matter at this point, longer lengths are common, but shorter lengths are easier to handle. Lightly brush in oil, even as you are rolling and forming them into the strips. Keep them covered in oil to ensure they don't stick together. Place on an oiled plate or dish. If on a plate, coil into a circle, and continue each piece, until you have one large continuous coil. Alternatively, place them side by side in a dish and brush with oil. Cover with cling wrap so they don't dry out. Allow them to rest for a minimum of 4 hours. It's best to allow the dough to rest overnight. By allowing they to rest, they will stretch and pull into shape without tearing. Don't skip this step.
Bring a large stock pot of water to a boil. Meanwhile start preparing the dough.
This is the first part of this dough preparation. Take one strip of dough and using your hands, stretch and pull it. Holding the dough with your left hand, and pulling a few inches with your right hand, continuing until the piece of dough is stretched. It will start to look like a thick oily shoe lace. Keep each stretched shoe lace dough in an individual piles, not touching each other. While you are pulling, also twist at the same time. The technique is hard to master, so just pull, twist and pray for the best! Repeat this process twice, further stretching and twisting each individual dough lace. Cover them with cling wrap during this process, as they will start to dry out.
The final time of stretching, you need to stretch the rope, while coiling it up like a rope, between your hands, maybe 2 feet apart. Another way to describe it would be to hold it with one hand, and loop it around the other, and continue until your noodle is looped. Then you hit the table gently but firmly with your noodle loop, aiming to hit the middle of the loop on the table. While you are hitting, you are also widening the gap between your hands. The end result is longer stretched noodles. Hang the noodles on the edge of the table until you are ready to cook them. It will take a few tries to get this to looks like noodles, and the shape will be irregular, and pieces might rip, but thats ok. It will all cook together in the same pot!
The pot of water should be truly boiling by now. Drop the noodles in batches into the boiling water. Bring the water back to a boil and cook for about 2 minutes. Using a fork or chop sticks, break apart the noodles so they don't clump together while they cook. The oil on the noodles will help, and the oil washes off the noodles into the water, just like making pasta. After 2 minutes of boiling noodles, pull one out and taste. It should be al dente and firm.
Prepare a bowl of cold water. When the noodles are cooked, remove from the pot using a mesh/wire noodle strainer, and place into the cold water bowl. This will stop the cooking process. Remove the noodles out of the cold water almost immediately, and serve with lagman stir fry.