I found an online reference that uses this Halkomelem name. There was only a small variation from what you added, so I updated it from šxʷt̓ q̓ʷeleʔca to šxʷt’q̓ʷeleʔc, and added another nearby name.
https://musqueamcapital.ca/one-a-purposeful-passage-the-other-long-and-winding-the-road-names-at-lel%C9%99%E1%B8%BF/