As a matter of fact, it might be best (if the processor from Old computer doesn't fit into new computer) to order a new processor first before buying a mother board, that way you don't risk buying the wrong component.......If it works, great! If it doesn't work, then you'll have to order a board, but look at it this way, the primary components of your computer will be brand new.
OR, you can bring it to a technician and have him diagnose it for you, so you know exactly which component you need!