Ochsner Health (includes the following locations): Ochsner Medical Center (Jefferson Highway) Phone: 504-842-2832 Fax: 504-842-4047. Ochsner Baptist Phone: (504) 894-2173 Fax: (504) 894-2460. Ochsner Medical Center - Baton Rouge Phone: 225-236-5917 Fax: 225-236 - 5469 or 225-761-5939. Ochsner Medical Center - Kenner Phone: 504-464-8066 Fax: 504 ....