My parents divorced. Would my mother still be eligible for this pension based on my other father’s service?

Generally the answer to this question is no. However, if the divorce was due to physical abuse or extreme mental cruelty, the VA has been known to consider these circumstances and consider the application.

There would have to be documentation and unquestionable evidence supporting the claim of abuse in order for this to be applicable. Even if this is the case, the VA is not required to consider the application.