LUM is the origin of our word, loom, from LU and UM. Loom is given as being of unknown source, so there you go. Apparently, nobody ever looked for it in Sumer. This is my version of it:
The horned snake would be BU, possible meaning of ‘wide’, ‘width’ or even length. Never been very sure of that one.
As for the mysterious symbol below the eye, it strikes me straight away as being a bent arm with a hand at the end. The Sumerian would be DA, with the meaning of arm, but also ‘by the side’, ‘near’, etc. Here is the version taken from the CDLI proto-cuneiform list, although I do admit to having pivoted it to fit the Egyptian image. DA symbol is quite varied, often more hand than arm and pointing upwards, so very different to this one. Accept to be wrong but still….
Of course, this takes us into the slippery territory of equating Sumerian with Egyptian writing and I understand it wasn’t your intention that I make those comparisons. But still something of a coincidence in this case; Also, I see there the symbol that was mentioned in the recent piece by Robert Bauval about the sphinx, the strange shape above the mound on the left. So that would have something to do with weaving too? Did you notice that the ankh equivalent in Sumerian is MEHI, while they make the case for Mehit being a title of the Great Sphinx? Keep them coming. Fascinating.