>Do you think this is Hans M. Kok's death record?

No

>Hans M. Kok, "Denmark Burials, 1640-1917"
>name: Hans M. Kok
>gender: Male
>burial date: 15 Jan 1845
>burial place: Maribo, Denmark
>death date: 11 Jan 1845

Rasmus Hansens father:
Hans Madsen Kok ( note that Kok is a nickname)
born march 1785 in Sæddinge
baptized 20 march 1785 in Sæddinge Church
died 5 may 1851 in Sæddinge Parish - 66 years old
buried 10 may 1851 in Sæddinge Parish
Parents: Mads Hansen and wife Else Lorentsdatter

Rasmus Hansens mother:
Ane Kirstine Jørgensdatter
born about 1792
died 26 november 1836 in Sæddinge Parish - 44 years old
buried 3 december 1836 in Sæddinge Parish
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Flemming Aasklint