You saved me. Turns out that Ellis Island has a wrong year of arrival and the Danish Emigration Database has a partly wrong name!
Navn: Bertelsen, Lauritz Peter
Kontrakt nr.: 243500 Forevisningsdato: 4/7/1905
Also the place of birth is wrong; he grew up at "Bjerget" Lild Parish, but was born in another parish. But he was going to Shelbourne, which I believe is the proof.
The 1910 US census lists him as 23, but he was 28 if the count was before Feb. 1910?
Morris County fits exactly with the place his younger brother Bertel was destined for acc. to the ships manifest from 1911.
The empty place on the gravestone supports the saying one brother returned to Denmark.
This is a huge step forward. Now I only need to find the eight daughters and two sons:-))
Thank you for your support