Yes, says a research team at the Royal Children's Hospital Foundation in Queensland, Australia which studied 151 mothers immediately after they had given birth and then again seven months later.
Almost half of the women were single, separated or divorced.

The predictors for abuse, according to Hospital Foundation clinical fellow Dr. Susan Cadzow include: financial stress; an incomplete high school education; domestic violence, verbal or social abuse; and an elevated Edinburgh Postnatal Depression Scale score.

The results says Dr. Cadzow, indicate that the assessment of the risk is "possible and simple, and is related to perceived stress at the time surrounding the delivery."
(HealthWatch Volume 11, Number 2)

If you know of a child or someone being abused, don't hesitate to notifiy to the authorities.