sounds interesting (=・ω・=)
It does ring a bell but I have to jog my memory a bit. Do you remember any more details?
Here check to see if it is in this list, if you do find it, please inform us (me :D) to stop looking for it.
https://www.mangaupdates.com/series.html?category=Shinigami_&genre=Shoujo&filter=scanlated&perpage=50
is it Shinigami Lovers? http://www.mangago.me/read-manga/shinigami_lovers/
Maybe this one? http://www.mangago.me/read-manga/shura_to_otome/
Hi, I am trying to find the name of a manga where a girl falls in love with a shinigami who was sent to kill her. In the end of the manga the shinigami dies but he and girl have a baby together.