Disclosed herein are methods of treating an ocular surface disease, disorder, or wound comprising applying an umbilical cord sheet and/or a controlled-release formulation to a tissue or surrounding tissue of an eye of a subject, such as the inferior fornix, superior fornix, and/or cornea. Further disclosed herein are kits for treatment of an ocular surface disease, disorder, or wound comprising the umbilical cord sheet and/or controlled-release formulation and a device for delivering and applying the umbilical cord sheet and/or controlled-release formulation to an eye of a subject.