[SDL] OT - Undefined references in my project

[Michael Sullivan]

I'm sorry to ask this here, but I've tried a few other lists, and
they've given me a few suggestions (which didn't work), so I thought I'd
try here.  I suspect this has something to do with my Makefile.  This is
the first project I've done when I've attempted to use a Makefile.  My
full code is too long to politely past into an email, but I've posted it
at http://www.espersunited.com/~michael/needhelp.txt

Here's the Makefile:

CC=g++
CFLAGS=-W -Wall -pedantic
LIBS=`sdl-config --cflags --libs` -lSDL_image -lSDL_gfx -lSDL_ttf

character.o: character.cpp
	reset; $(CC) $(CFLAGS) -c character.cpp;rm *~

battle.o: battle.cpp
	reset; $(CC) $(CFLAGS) -c battle.cpp -I/usr/include/SDL/; rm *~

all: battle.o character.o
	reset; $(CC) $(CFLAGS) battle.o character.o $(LIBS) -o battle; rm *~

character.o and battle.o are created, but when I try to make all, I get
the following errors:

battle.o: In function `battle::battle()':
battle.cpp:(.text+0x9e3): undefined reference to
`Character::Character()'
battle.cpp:(.text+0xb35): undefined reference to
`Character::~Character()'
battle.cpp:(.text+0xb83): undefined reference to
`Character::~Character()'
battle.cpp:(.text+0xbd1): undefined reference to
`Character::~Character()'
battle.cpp:(.text+0xc16): undefined reference to
`Character::~Character()'
battle.o: In function `battle::battle()':
battle.cpp:(.text+0xf19): undefined reference to
`Character::Character()'
battle.cpp:(.text+0x106b): undefined reference to
`Character::~Character()'
battle.cpp:(.text+0x10b9): undefined reference to
`Character::~Character()'
battle.cpp:(.text+0x1107): undefined reference to
`Character::~Character()'
battle.cpp:(.text+0x114c): undefined reference to
`Character::~Character()'
character.o: In function `Character::Character(char*, long, long)':
character.cpp:(.text+0xdb): undefined reference to `vtable for
Character'
character.o: In function `Character::Character(char*, long, long)':
character.cpp:(.text+0x12d): undefined reference to `vtable for
Character'
collect2: ld returned 1 exit status

I don't understand why.  This is my first SDL project, and my first
multifile C/C++ project, so I'm kinda out of my element here.  Thank you
in advance for your help...
-Michael Sullivan-