Hi

>The information I found in the passenger records lists him as Jens Iver Engmark, whose year of birth was 1871, and who arrived in the U.S. in 1899.
>It listed his place of birth as Lemvig.

Lemvig is his last residence - not his birthplace.

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Jens Iver Engmark
born 3 december 1870 in Holstebro, Ringkøbing County
baptized 10 january 1871 in Holstebro Church
Parents: mother unmarried girl Ane Kristensen
Alleged father: Jens Simonsen Engmark.

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Flemming Aasklint