Clerks and others recorded names as heard or read, and nicknames, married names, anglicization and transcription errors all introduce variation.
No. Confirm the link with other identifiers such as birth date, address, relatives or occupation, and record which details agree.
Keep a variant list and use each database's wildcard or sound-alike tools, checking the help pages because systems behave differently.
Share your evidence privately with the investigating agency or medical examiner rather than announcing a possible identification publicly.
Quote the name exactly as written and add a note explaining the variant, so readers can see the original record accurately.