Glossaries: Can I have counters on a per glossary basis?

You could perhaps use this snippet from my "personal documentation" :p

documentclass{article}
begin{document}

section{New Counter}

You could use verb!newcounter{}! to  create a new counting thing. For example if you wanted to create a thing called textit{Crap} and count how many craps I have you can do: 

verb!newcounter{Crap}! newcounter{Crap} and then use verb!stepcounter{Crap}! to move these forward: 

noindent
stepcounter{Crap}arabic{Crap}{.} One crap 
stepcounter{Crap}arabic{Crap}{.} Two crap 
stepcounter{Crap}arabic{Crap}{.} Three crap 

Then if you might want to step these up a notch (or down) you can use verb!addtocounter{Name}{number}! addtocounter{Crap}{3} to  reset the count: 

noindent
stepcounter{Crap}arabic{Crap}{.} Some crap which has been jumped up by 3. 

To print the numbers of these craps you use labeling definitions like verb!arabic{Crap}! or verb!alph{Crap}! where you want the numbering to appear: 

noindent
stepcounter{Crap} More crap (alph{Crap}). 
stepcounter{Crap} Even more crap (alph{Crap}). 

To get the section/chapter numbers with it simply add a counter definition for the desired document part and what you want to separate, like verb!arabic{section}.alph{Crap}! 

noindent
stepcounter{Crap} This is the last crap: arabic{section}.alph{Crap} 

To get a dot or a semicolon or some such thing after a nude counter label just add the symbol in curly brackets after the numbering definition like verb!arabic{Crap}{.}!. 

end{document}