My husband fathered an illegitimate child during our marriage. Is this child entitled to our estate should we die?

The illegitmate child is an heir of your husband.  The only way he or she would be excluded from inheriting property is for your husband to execute a Will that dictates how his property should pass, as opposed to the heirship laws of the state of Texas controlling.  A Will providing for an inheritance to anyone other than that child will disinherit that child. Sincerely, Kevin Spencer www.spencerlawpc.com