Likely a modern combination of Sheila and Lynn
Sheylin is a contemporary American invention, most likely created by blending the Irish-derived name Sheila with the popular suffix -lyn. As a modern coinage, it does not have a singular ancient etymology but carries the combined heritage of its components.
Less common today
Sheylin isn't in the latest US Top 1000. It last peaked at #6,820 in 2023.
US births per 5-year period, 1990βpresent (SSA data).