I did a bit of research, and I did not find any usage on the Internet beside the surname, but I did find this spelling listed on
babynamespedia.com and
babynamesdirect.com. I also searched baby name lists 2013-2021 from the US Social Security Administration (more available here:
https://www.ssa.gov/oact/babynames/limits.html), and I could not find it, though it only lists names with 5 or more uses per year. I could find spellings ULRIC, ULRICH, and ULRIK, but they did not exceed 20 uses each.