The term "survivorship account" generally refers to an account or other asset that has "rights of survivorship." Under Texas law, when an account or other asset is registered as "joint tenants with right of survivorship" or gives other effective indications of a survivorship right, your Will does not control passage of the property. Rather, upon your death, the account or property passes by "right of survivorship" to the persons named in the survivorship provision, not the persons named in your Will.