As already noted, 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 or titled as "joint tenantswith right of survivorship" (JTWROS) or gives other effective indications of a survivorship right, your Will does not control passage of the funds or assets in that account upon your death. Rather, upon your death, the account passes by "right of survivorship" to the persons named as the "survivors" on the account and not to the persons (or to the trusts created for the persons) named in your Will.