dreams of other babies

I keep having these weird dreams that I find and rescue babies. Last night it was a baby left on the doorsteps of my parents house that was also a grocery store. I picked up the baby and had to remind myself that it wasn't Avery because I had left her sleeping in my old bedroom upstairs but the similarity between the two was amazing. The baby I had found had the same dark hair, was about the same size/age only was a little malnourished. I was so concerned about the baby's weight I ran to ask another mother/checkout lady if she thought it was ok for me to nurse the baby. I just didn't want to upset anyone by shoving my breast into some strangers baby's face , even if the original mom had left her baby behind without any care. I kept wondering if the baby was a boy or a girl...It had on only a diaper and was semi wrapped with a lite blanket. I decided not to nurse this strange baby,i didnt know where it had been and it wasn't crying so I took it upstairs to my old bedroom to make sure Avery was still there and I changed the diaper discovering that the abandoned baby was a little boy, and I kept thinking how close in age Avery and this mistery baby boy were and ways I would be able to tell them apart.
I really wonder if this type of dreaming is normal for a new mom. I guess I'm overwhelmed with concern and care of babies that I'm picking up all these extra ones in my dreams