I have been overweight ever since my first baby but when I wasn’t overweight I didn’t have depression
FYI if you are not sleeping enough sometimes you will gain weight. Also, it takes time to lose weight after having a baby. The hormone need to readjust. Don't stress, love yourself and your baby.
Some do some don’t. Depends on you and your life style
An interesting article I found concerning your question. I hope you can open the link.. There is a definite connection between obesity and depression. But often times a woman can also become depressed after having a baby...post partum depression, and can last for years.