Hi,I don't know what all this means as I don't usually "research" Navy WWII men/women.Hope you can find something out about the ship or someone can help you with details about the ship.
U.S. World War II Navy Muster Rolls, 1938-1949 about Marvin W Rainey Name: Marvin W Rainey Ship, Station or Activity: Prairie - This is the Ship's Name I think Ship Number or Designation: AD 15 Muster Date: 15 Nov 1943
You can also try for his military records by googling Standard Form 180 and it will tell you how to go about getting them.They shouldn't have been part of the fire of 1973.Gather as much information as you can before submitting the form.And if there is a living sibling or his wife still living, have them sign it.If not, then the oldest member of his family should be able to obtain them.
If he had a military funeral, contact the funeral home and/or the Sexton of the cemetery as they may have some of his military information.
If he received VA benefits, contact the VA in the region he is/was living in at the time of his death.
And is this him?
RAINEY, MARVIN b.16 Nov 1911 in TN d. May 1986 92027 (Escondido, San Diego, CA)