Id appreciate any help on identifying the type of axe, what is was used for,
Evan,the axe at the top in your photo would commonly be termed a "goosewing".
It was a pattern common in Germany(and spreading to other places from there)since the Middle Ages,and it's a heavy-ish,single-bevel hewing axe,used on timbers in construction of all sorts,residential to industrial and anything in between.
(a friend once sent me a photo of a modern one of exactly the same pattern,laying on the sidewalk next to a modern building under construction/renovation,amidst other perfectly modern electrical tools;so is produced until today).
Yours is for the right-handed use.
The axe in the middle of your photo is also a heavy-ish single-bevel hewing axe but lighter and with the blade of a thinner section(more likely).
Sometimes called a "cooper's" hewing axe it was used in the cooperage and carriage trade and the like for the finer/flatter/smoother,more of a finish work.
This particular one has been Handled(such pattern may be reversed)for left-handed user.
Both of these are sufficiently old to've been shaped entirely by hand. Which does not preclude the use of some very heavy forging machinery which in some places goes back centuries.So by saying that i mean that chances are that a very skilled worker "free-handed" them under(chances are) a water- or a steam-powered helve-hammer of some 100's kg weight.
The Beatty is a heavy,American pattern hewing axe for siding large timbers.It's also single-bevel,and even more than the cooper's axe above symmetrical,i.e. meant to be handled either right or left.Yours is hafted for right-handed use.
Originally one of the English-type patterns it became very wide-spread in use in the US,and one of the more common types of "broad",that is to say hewing,axes.
It was also shaped pretty much by hand but in a larger,more organised manufactury,in a more regular fashion with more attention to detail.
(i'm sure there's lots on the web about Wm. Beatty tools).
That about sums up what i could scrape together from this pea-brain of mine...Couldn't say anything about exact dates let alone "value"...
