Traditional and Contemporary Considerations and Approaches
This is one of several types of miscarriage ritual that I have conducted. Pastorally, rabbis of all denominations have quietly created rituals to help deal with the grief and trauma of miscarriage. "Officiating" at the burial of a fetus is not a Jewish practice. The tradition's perspective is that this was not a "viable life from" and so was aborted by the Source, ultimately to the benefit of all, despite how hard it is to endure the loss of a wanted pregnancy. Ritual and pastoral support is important for those who are mourning the misfortune of a miscarriage.
Halachically, a child [one who achieves the departure of it's head from the birth canal] who dies in less than thirty full days of life is given taharah (ritual of gentle washing), named, buried but has no official mourning period. Mourning rituals for miscarriage are not recorded our ancient texts, many have been created by Jewish women. I always customize rituals based on the need of those involved.