What's Going On With These Coins

[-monolith-]

I'm an avid collector of error coins and can usually identify them rather quickly. I knew when I saw these two that there was something off for both of them. They appear to be overstrikes, with traces of the undertypes showing thru, but I'm not sure. What do you think?

The first one appears to have a countermark stamped over the portrait on the obverse yet there is an odd extension coming from her jaw and a raised area behind her head. Are these traces of an overstrike?

 

The second coin is missing the lower jaw on the obverse portrait and has a large raised "mass" on top of her head. This could be a die cud (die damage) yet I have never seen one this large. Do you think they are traces of an overstrike or something else? The reverse has an odd depression on the lower right, this is typically a sign that a coin has been overstruck; what do you think?

 

[Hrefn]

I think the mass over the portrait on the second coin is definitely due to die damage. In other words, a cud.  Metal which flowed here may have led to a less crisp die impression elsewhere, such as the lower jaw.  
 

I think the first one is indeed an overstrike, not a countermark.  
 

My opinions, for whatever they may be worth.