Gifts for second babies?

My SIL and I are due within weeks  of each other, her with her first and me with my second. I have been gathering gifts to send to her because we live in different states. I recently had a family member tell me that no one will be sending me anything for our baby because it's tacky to send gifts for the second baby. I wasn't expecting anything however, I had never heard of this logic. My children will be 4 1/2 years apart and I always send gifts to my expecting friends and family whether it's their first or 5th baby. Is this common practice?