I've always thought of Grenadiers as soldiers, but this early broadside in the Bodleian Library points to them being seamen.
There is also an interesting spelling ...... GRANADEER



The Granadeers Loyal Health

Info regarding the above ....
Printer: Back, J. (London)

Date:      between 1682 and 1703
   
Imprint: Printed for J. Back, at the Black-Boy, on London-bridge.
License note: This may be Printed, R.P.

Illus. Ballads on sheet: 1   
   
Copies: Don. b.13(16)
         
Ballads: 1.The couragious seamens loyal health. Or, an Answer to   Dub, a dub, a dub, a dub, &c
             ("Shall the Granadeer-boys proclaim ...")
To the tune of: The Granadeers loyal health
Subject: Naval; James, II, king of England, 1633-1701