S.T.
Reading your post made my heart break all over again. Almost 11 years ago to the day, my sister was induced and had her daugther, Samantha, who had passed away the night before. My daughter was born premature and was a month old. We had looked forward to the girls growing to be best friends and sharing all the silly fun that cousins do. My sister was told her baby had trisomy 13 in her 7th month of pregnancy. We were all devasted and I was consumed with guilt, especially after my little girl was born without complications, other than being a month early.
I talked with my sister about once a week before Samantha was born but there was a distance after she was born. I respected that distance and allowed my sister to grieve. It was so hard not to be there for her but I understood that I was a source of pain to her right now. When my daughter was 3 months old, my sister called me out of the blue and asked my husband and I to bring our two young children down to visit them and stay the night.
I was more than nervous. The last thing I wanted was to cause my sister pain. It was so hard. My sister didn't hold the baby our entire visit. But she was able to share with me all her pictures, little clothes, memories and grief. I felt so helpless and guilty but I listened and held her.
A couple years later I asked her about that visit. She said she had forced herself to have us over because she didn't want to punish her neice or have her grow up feeling that her auntie didn't love her. She felt that if she didn't make that connection with her early that she wouldn't have been able to show her love and affection later.
Having said all that, my advice would be to let your sister-in-law have the space to grieve. Allow her several months and allow her to make the first moves toward you. It may seem like she should move on after a while but the truth is that you never get over losing a child. October 3rd would have been Samantha's 11th birthday. My sister will grieve and hug her two daughters even closer. And we will surround her with love and remembrance.