You could combine all those winner checking functions into one function that returns an int. Let's say 0 would mean a tie, 1 X wins, 2 O wins, and 3 neither a tie nor win for either player.
For example:
int ticTacToe::determineGameStatus(){ //returns 0 representing a tie, 1 representing a win by Player1, 2 representing a win by Player2, and 3 otherwise.
for(int i=0; i<3; i++){ // i will checks every row and every column
if (board[i][0]==board[i][1] && board[i][1]==board[i][2]){ // 3 in a row check
if (board[i][0]=='X') return 1;
if (board[i][0]=='O') return 2;
}
if (board[0][i]==board[1][i] && board[1][i]==board[2][i]){ // 3 in a column check
if (board[0][i]=='X') return 1;
if (board[0][i]=='O') return 2;
}
}
if ((board[0][0]==board[1][1] && board[1][1]==board[2][2]) || (board[0][2]==board[1][1] && board[1][1]==board[2][0])){
if (board[1][1]=='X') return 1; // 3 in a diagonal check
if (board[1][1]=='O') return 2;
}
bool tieTest = true;
for (int row=0; row<3; row++) // checks for tie game after the check for every possible 3 in a row is over
for(int col=0; col<3; col++)
if (board[row][col]=='*') tieTest = false;
if (tieTest) return 0;
return 3;
}