Hi, I think if your dh is uncomfortable with it than don't use it, there are millions of other names out there. My mum had twins, one died a few weeks after birth and the other 6 months later I couldn't imagine anyone in our family using either of their names it really is a constant reminder. When I say anyone in the family I mean all of my cousins or if any of my aunties or uncles were to use it. Mind you there are about 20 cousins and they all have 3 (some 4) kids so that's a lot of naming going on. Having said that the twins names weren't as common as Jennifer, I'm sure your DH's grandmother has met dozens of Jennifer's over the years and doesn't really think about it. I know that my mum and dad and probably my aunts and uncles would think of the twins my parents lost when they hear those names. Everyone is different though, while others may be honored to hear that name used and remembered others may just be reminded of the pain. Only you know how your family members really feel.