I am running a SATA3 SSD on my wife's PC that is very old (core2duo LGA775, and SATA2), and it works perfectly fine. Granted I am not getting the performance out of it that I could have if it was plugged into my own rig, or if her mobo supported AHCI/RAID, etc. But it is still very fast, and breathed new life into the system.
Keep in mind that the board you are picking is rather old, and will not support new/modern processors. If the computer is for a home office, or web browsing and movie watching then it will work fine, but this is not for gaming, multitasking, or any kind of video editing/3d modeling/etc. Do not pay more than $30 for such old equipment, even if it is 'new' and in the box it is still 3-5 years old.