As far as I am concerned cryptography is being used by human race for 1000s of years and it may got improved into more complex levels with modern computing era.

Cryptography provides security to bitcoins hence it is just layer of security thing and it is not the actual part of what we are considering as bitcoins, right ? If it is so, is it right way to have a term crypto-currencies ?

I agree it is a term to represent bitcoins and other coins as no other money system is being secured this way. Yes, cryptocurrencies is just a term to distinguish bitcoins and altcoins from paypal or skrill.

Then what could be a right way to represent bitcoins and its clones in general ?

Might be BLOCKCHAIN-MONEY or BLOCKCHAIN-CURRENCIES having exact representation of bitcoins and altcoins by conceptual way. Probably it may be a hard term for non-technical people (even crypto too). Smart-money or digital-cash are easy terms for anyone but not exactly representing bitcoin-family. If you have any suggestion, please do mention, we must have easy term for making it to main stream adoption yet it must have meaningful representation.