Hi...not related.

Can't find a Cote in Hastings, Dakota Co., MN.

However did find Frank's death certificate. It's on
http://seekingmichigan.org/discover
Clic on "Death Records, 1897-1920"
Clic on "Advanced Search"
"all of word"=marquette
"the exact phrase"=cote
Select Death Records & add
Clic search
Scroll down till you see Frank Cote.
The DC is Viewable & printable.
Gives age, dod, pod, name of father, cemetery where buried.