I'm so sorry you're having such a difficult time with the timing of your baby's birth. Try to think of it as the cycle of life: one life on to their eternal reward, another just beginning his/her earthly vocation. The death of loved ones is not only traumatic, but really a transforming experience. It can be transforming in diverse ways, but if you try to think of the joy and learning your life experienced from your deceased father and mother, and translate that joy to the birth of your baby - really, THEIR legacy because we are all decendants - then perhaps your perspective will change from one of divided emotions of joy and loss - to one of sheer thanksgiving.
We are all in this together, but we all have a unique relationship with our creator and savior (atheists, please stop reading now so you will not be offended unnecessarily) and coincidences of timing, in my opinion, aren't really "coincidences" - but rather providential blessings or lessons.
Your baby's birth is such a blessing.