P.S. Many people change the spelling of their names, especially before and after immigrating. Sometimes there are several spellings and they are used back and forth. Sometimes the person writing the record (like the census) will use the wrong spelling. Sometimes there are typoes/miswrites. And even more commonly, the transcription is borked and you have trouble finding the person with an internet search. All of this can make it difficult to find people with name searches. Sometimes you have to get creative.