I'm going by the statement " the distributor is not loose and it supposedly was driven in to where she sat".
If the distributor was a "tooth out", turning it to restore the correct timing would be all that's needed. The only thing that might prevent that would be the vacuum advance hitting the firewall or intake, preventing the timing from being set right. But I get your point- the timing could be off. Checking the rotor position at TDC will show that.