Since Lilith represents/embodies the dark aspects of femininity and motherhood and harms/hurts and even kills babies and children as well as women and/or babies during pregnancy and/or childbirth whereas Lailah represents/embodies the light aspects of femininity and motherhood and protects babies and children as well as women and/or babies during pregnancy and/or childbirth, do people pray to either Lailah for protection or Lilith to spare them, or do they pray to both Lailah and Lilith (or a mix of sometimes either one and sometimes both), or would it be an “it depends” at best?
Speaking of which, if a baby or child dies or if a pregnant woman (and also the unborn baby) dies or if an expectant mother is in labour and she and/or the baby dies during childbirth or if a pregnant woman/expectant mother has a miscarriage or a stillbirth/stillborn or if a woman is struggling with fertility problems/infertility (miscarriages and stillbirths/stillborns are two examples, but other examples include epiotic pregnancies, being barren/unable to conceive, etc.), does anyone blame Lilith and/or accuse anyone of working with Lilith (like, for it to happen or to cause it to happen)?
Likewise, how does Lilith (actually) harm/hurt/kill babies, children, and women and/or babies during pregnancy and/or childbirth? Does she suck the life or soul out of them like Delores from Beetlejuice Beetljuice (from the Beetlejuice franchise) sucked souls out of people (including the titular character himself, as it was how he died)?
Lilith and Lailah duality
many theologians of Sheol and Eden consider Lilith and Lailah as two sides necessary for balance, since there really are two sides to motherhood, even considering their names!
similar views are common among some inhabitants of Sheol, especially among the descendants of malachim: it's among this caste that equal worship of both is widespread, since they accept both aspects fully
in general, this is more a matter of faith, since Sheol is cut off from the influence of Eden, and in fact Lailah doen't have much power (she is considered a "foreign" goddess), but mothers prefer to honor her, even if it happens in secret
in general, yes, this is about the reaction of many, as you have supposed!
however, it's often not a serious accusation or threat: since the inhabitants of Sheol have a mythological mindset and live next to their own pantheon of deities, they rather perceive this as always a possible outcome of events and treat it roughly like medieval christians saying "God gave, God took away"
sometimes the one who wants to harm a mother and/or a newborn child deliberately prays to Lilith with a request to "devour" them; sometimes the mother herself does this if she doesn't want this child
a way of harming/hurting/killing
to put it another way, Lilith is an extra-class mage
her main sphere of influence is blood magic and some branches of mixed-type magic: she knows how to influence flesh and vital energy, even to the point of literally sucking it out from a distance, and this is developed at such a level that sometimes she doesn't even pay attention to it
since infants, babies and children are the least mentally protected and not yet fully formed, and pregnant women are vulnerable (due to the fact that they have another creature in the womb, their bodies are more affected by magic), it's not surprising that Lilith's influence is felt especially strongly on them
many believe that this is also due to the fact that she herself gives birth to monsters and she's jealous to other women, but who can say clearly
