My grandmother had one of these combs, made from plastic or some kind of hard resin. It was used for the exact same purpose and had the same basic design, fine teeth on one side and coarser teeth on the reverse. Here is an example: https://www.3p.com.au/wp-content/uploads/2021/08/SB424.jpg
It's interesting to think humans used and evolved these objects for millennia before they got rich enough to practice modern hygiene. Worldwide prevalence of lice infestation can still exceed 60% of the population in some regions: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2603110/