Perhaps you could enter the mothers name (or initials) and the fathers name (or initials) and find a name that includes the letters of both. After all, the baby is the product of both. However, if the names are long, the resulting names could become formidable, and daunting baby names are probably not the way you want to go. You will get more results using a shorter input.
If you have six relatives all insisting that you name the baby after them, because look at how special they are, perhaps you could appease them all by including the first letter of all of their names. Baby naming should be about love, not appeasement, and unless you come up with such a spectacular name with this method, and can achieve both love and appeasement, I would just tell them to just deal with it, because it is your baby and entirely your choice.