Thanks, sole prop is belong the wife and Sch C filled out per her job but the tax pro forgot to mark Spouse part on Sch C instated he marked husband part and husband first last name named on the top of the form. Husband has his own Sch C in the return as well.

Does changing the Sched C to name of wife change the tax liability ? 

No

Does the wife need the income reported under her SS# for SocSecurity credits ?

Yes