Not all blood relatives who have survived a deceased person have an entitlement. Under the Administration of Estates Act 1925, if a person has died without leaving a will and there is no surviving spouse, people who are descended from a grandparent of the deceased could potentially be entitled to share in his or her estate.
If you are related by marriage (e.g. if the deceased person was your stepfather or mother or your brother or sister-in-law – although your children might be entitled in the latter case), then you have no legal entitlement to share in that person’s estate.