If you place your routines into a module and put the statement PRIVATE at the top of the module, then PUBLIC :: name1, name2, only the procedures name1 and name2 will be visible outside of the module. This should follow through to a library into which you place object code containing the module. This has been supported since Fortran 90.
As already answered by @janneb, you can use the bind (C,name=X) approach to take complete control of the externally visible name of a procedure, overriding the Fortran name of the procedure. This is part of Fortran 2003 and is supported by numerous compilers for years. A possible issue with the bind(C) approach that it specifies that the calling convention of the routine should be that of C. If this is different from that Fortran and you wish to call these routines from Fortran the complexity increases. Then you would have to specify an interface to inform the calling Fortran routines that they are calling what looks like a C routine. Since people rarely care about the name visible to the linker unless they are calling from C, you might want the C calling convention?
Examples at Private function in Fortran and C/C++, FORTRAN, underscores, and GNU Autotools