Husband died, can my child with another father collect benefits?

I am sorry for your loss. I am assuming you mean social security survivor benefits.  

Social Security survivors benefits can be paid to:

• A widow or widower -- full benefits at full retirement age, or reduced benefits as early as age 60
• A disabled widow or widower -- as early as age 50
• A widow or widower at any age if he or she takes care of the deceased's child who is under age 16 or disabled, and receiving Social Security benefits
• Unmarried children under 18, or up to age 19 if they are attending high school full time. Under certain circumstances, benefits can be paid to stepchildren, grandchildren, or adopted children.
• Children at any age who were disabled before age 22 and remain disabled.
• Dependent parents age 62 or older

The person who has died had to have been working and paid Social Security taxes.

Up to ten years of work is needed to be eligible for benefits, depending on the person's age at the time of death.

You should contact your local Social Security office to discuss your eligibility and the eligibility of your children.