Vegan Water and flour HM noodles?

Yesterday, my MIL made her traditional after Thanksgiving dinner-- cream of chicken soup, with HM egg noodles and leftover noodles. I reluctanly accepted her offer of cream of mushroom soup (the Campbell's brand has less than 2% milk, according to their label, but still...), and noodles. She asked me why I didn't care for eggs, I guess I wasn't thinking (I was in a haze most of the day, until after my nap on the way home), and said that they didn't have any taste to me, even with onion in it, as I had had a bite of one morning last week. I didn't want to go into the real reason. I was going to ask her to not put noodles in my soup, but she added them when I was in the bathroom. Admittedly, I liked it and had two helpings. (I left the leftovers for my FIL.) Eh. I stopped short of having any of the Grands! biscuits and the banana bread mix. (I looked at the box and wasn't impressed; I wondered how it was supposed to be quicker than HM from scratch. For breakfast yesterday morning, I had a banana that was quite ready for bread.Ironically, my husband told my MIL of the banana bread he tried making that literally fell flat. While he put flour in it, he neglected to add baking soda and/or powder for a rising agent. I don't think he mentioned that it was eggless.)

Anyway, I would like some egg-less HM noodle recipes that I can make with water and WW flour. My MIL was concerned that she couldn't make the noodles since the eggs had frozen in the fridge and wasn't sure if my FIL would go out and get eggs (never mind my MIL was already out for church, I guess she does absolutely no grocery shopping), while she was at church. An eggless recipe would have been good. A subtle way of saying, "See. Eggs aren't needed for everything." As it was, I told her that I thought it was just flour and water, but I guess the eggs were "needed" for a binding agent. (My FIL asked if there were egg substitutes. I think he caught me off guard, or I was still hazy, as I just said that I hadn't tried them. Had I been thinking, I would have given some of the options, like bananas and flax seeds and apple sauce. I've kinda tried the bananas, but the cookeis didn't quite turn out. I shoudln't play with a recipe the first time I try it. ) I digress.

TIA for any recipes/advice.

Peace and blessings,
Laura