A person who has died cannot sign a deed, so the next step depends on how the property was titled.
If spouses owned it as tenants by the entirety, or co-owners held it as joint tenants with right of survivorship, the survivor already owns the whole property. The usual step is to record a certified copy of the death certificate in the county records, often with an affidavit. Title companies may ask for more.
If the owner signed a lady bird deed, title passes to the named beneficiaries at death, generally without probate. Those beneficiaries usually record the death certificate as well. See what to do with a lady bird deed after death.
If the deceased owned the property alone or as a tenant in common, that share usually passes through probate or a court order. Homestead property has extra rules about who can inherit it.
Once the deceased owner's name is cleared, the surviving owner may want a new deed, such as a lady bird deed, so the property can pass without probate at the survivor's own death.