My father went to a junk yard to get some parts for a wehicle and found a NES game in a beat up case with no label. He only brought the circuit board home. I am goin to put it in an NES case and try it when I get some time. But can anyone possibly tell me what it is by the serial numbers on it?

On the board itself it says; U3CIC 1987 Nintendo
It has 2 small circuit boards and 2 large.
1 one of the larger one says;  NES-RH-O PRG
                                           RP231026D
                                                   5386
                                              9M3   70
the other larger one says;   NES-RH-O CHR
                                        RP23256E  2855
                                                9M3  A2

One of the smaller ones says;   Nintendo
                                             N MMC1B2
                                             894 983054

The other smaller one is;    6113B1
                                       1988 Nintendo
                                       9002 1 BA

NOTE: on the board itself the year is 1987 but on one of the "chips" it is 1988, can anyone help or am I forced to wait until I try it out

Rollerball

Definitely Rollerball.

you can tell because of the NES-RH text on the PRG and CHR chips.  That's the serial number for Rollerball.