Ph1b Study of Oraxol in Comb. w. Ramucirumab in Patients w. Gastric, Gastro-esophageal, or Esophageal Cancers

Inclusion Criteria: * Subjects must meet all of the following criteria to be included in this study: 1\. Signed written informed consent 2. ≥18 years of age 3. Histologically or cytologically confirmed diagnosis of advanced stage gastric, gastro-esophageal (Part 1 or Part 2), or esophageal adenocarcinoma (Part 1 only) with disease progression on or after prior fluoropyrimidine- or platinum-containing chemotherapy 4. Have documented testing for HER2-neu overexpression, and for those with tumors overexpressing HER2-neu, have documented progression on Trastuzumab-containing therapy 5. Measurable disease on computed tomography (CT) scan of thorax, abdomen, and pelvis, per RECIST v1.1 criteria 6. Able to swallow oral medication as an intact dosage form 7. Adequate hematologic status as demonstrated by not requiring transfusion support or granulocyte-colony stimulating factor (G-CSF) to maintain: * ANC ≥1500 cells/mm3 * Platelet count ≥100 x 109/L * Hemoglobin ≥10 g/dL; subjects with thalassemia having a hemoglobin \<10 g/dL may be enrolled, per Investigator discretion 8. Adequate liver function as demonstrated by: * Total bilirubin of ≤1.5 mg/dL * Alanine aminotransferase (ALT) ≤3 x upper limit of normal (ULN) or ≤5 x ULN if liver metastasis is present * Alkaline phosphatase ≤3 x ULN or ≤5 x ULN if bone or liver metastasis is present * Gamma-glutamyl transferase (GGT) \<10 x ULN 9. Adequate renal function as demonstrated by: * Serum creatinine ≤1.5 x ULN or creatinine clearance calculation ≥60 mL/min as calculated by the Cockcroft and Gault formula * Urinary protein ≤1+. If urinary protein is ≥2+, a 24-hour urine collection for protein must demonstrate \<1000 mg of protein in 24 hours to allow participation in this protocol. 10\. Normal prothrombin time (PT) or international normalized ratio (INR) and normal activated partial thromboplastin time (aPTT) unless subject is on anticoagulation therapy 11. Eastern Cooperative Oncology Group (ECOG) performance status of 0 to 1 12. Life expectancy of at least 3 months 13. Women must be postmenopausal (\>12 months without menses) or surgically sterile (ie, by hysterectomy and/or bilateral oophorectomy) or must be using effective contraception (ie, oral contraceptives, intrauterine device, double barrier method of condom and spermicide) and agree to continue use of contraception for 30 days after their last dose of study drug. 14\. Sexually active male subjects must use a barrier method of contraception during the study and agree to continue the use of male contraception for at least 30 days after the last dose of study drug. Exclusion Criteria Subjects who meet any of the following criteria will be excluded from this study: 1. Unresolved toxicity from previous anticancer treatments, including investigational products (subjects must have recovered all unacceptable toxicity to ≤ Grade 1 Common Terminology Criteria for Adverse Events \[CTCAE\] toxicity). This does not extend to symptoms or findings that are attributable to the underlying disease. 2. Received investigational products within 14 days or 5 half-lives of the first study dosing day, whichever is longer; subjects receiving biologic agents (eg, monoclonal antibodies) require a 30-day washout period. 3. Are currently receiving other medications or radiation intended for the treatment of their malignancy 4. Central nervous system metastases, including leptomeningeal involvement 5. Women of childbearing potential who are pregnant or breastfeeding 6. Currently taking a concomitant medication, other than a premedication, that is: * A strong P-glycoprotein (P-gp) inhibitor or inducer. Subjects who are taking such medications but who are otherwise eligible may be enrolled if they discontinue the medication ≥1 week before dosing * An oral medication with a narrow therapeutic index known to be a P-gp substrate within 24 hours prior to start of dosing in the study * Medications known to be strong inhibitors (gemfibrozil) or inducers (rifampin) of cytochrome P450 (CYP) 2C8 or medications known to be strong CYP3A4 inhibitors (eg, ketoconazole) or inducers (eg, rifampin or St. John's Wort). Subjects who are currently taking such medications but who are otherwise eligible may be enrolled if they discontinue the medication 1 week before dosing and remain off that medication during treatment with Oraxol. 7. Use of warfarin. Participants receiving warfarin who are otherwise eligible and who may be appropriately managed with low molecular weight heparin, in the opinion of the Investigator, may be enrolled in the study provided they are switched to low molecular weight heparin at least 7 days prior to receiving study treatment. 8. Require chronic use of nonsteroidal anti-inflammatory drugs (NSAIDs), chronic antiplatelet therapy, dipyridamole, clopidogrel, or similar agents. Aspirin up to 325 mg per day is allowed. 9. Unable to receive iv contrast for required CT scans 10. Poorly-controlled hypertension (\>160 mm Hg systolic or \>100 mm Hg diastolic for \>4 weeks) despite standard medical management. Subjects may be rescreened after adjustment of their antihypertensive medication. 11. Serious or nonhealing wound, ulcer, or bone fracture within 28 days prior to first dose of protocol therapy 12. Prior history of GI perforation/fistula (within 6 months of first dose of protocol therapy) or risk factors for perforation 13. Grade 3 or 4 GI bleeding within 3 months prior to first dose of protocol therapy 14. Arterial thromboembolic event including, but not limited to, myocardial infarction, transient ischemic attack, cerebrovascular accident, or unstable angina within 6 months prior to first dose of protocol therapy 15. Deep vein thrombosis (DVT) or pulmonary embolus or any other significant thromboembolic event during the 3 months prior to first dose of protocol therapy 16. Child-Pugh Class B or C cirrhosis of the liver or cirrhosis (any degree) and a history of hepatic encephalopathy or a history of ascites resulting from cirrhosis requiring diuretics or paracentesis 17. Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, poorly controlled diabetes or diabetes with established vascular complications, chronic pulmonary disease requiring oxygen, known bleeding disorders, or any concomitant illness or social situation that would limit compliance with study requirements 18. Medical condition that, in the opinion of the investigator, may interfere with oral drug absorption 19. Major surgery within 28 days prior to first dose of protocol therapy, or minor surgery/subcutaneous venous access device placement within 7 days prior to the first dose of protocol therapy, or elective or major surgery planned to be performed during the course of the clinical trial 20. History of hypersensitivity to paclitaxel, not attributed to a hypersensitivity type reaction to Cremophor®, or history of hypersensitivity type reaction to polysorbate 80 or other components of the formulation of Oraxol 21. History of developing any condition during prior treatment with ramucirumab for which ramucirumab must be permanently discontinued according to the ramucirumab Investigator's Brochure