Hi Newar, I might be getting somewhere (Maybe!~) Just got an email from express coin containing the link to my wallet with Block chain (I didn't know I had it). Inoticed two difference bit coin addresses as follows: express coin 35mYvUjMqiAYeobVhLc85PtHCmZKGeZ9Bi and for block chain it is f54a0bf0-6839-460a-9980-0f08cbd7d175. Does that shed any light???

The first one is what is generally called a bitcoin address. A multi-signature one in this caae.
The second starting with f is a transaction ID. You don't have walleet at blockchain, I don't think. Unless you made one. blockchain.info is also a block explorer site, showing what is happening on *the* blockchain. If you wish, you can double check for example on btc.blockr.io Wrong info, sorry, see below.
If I understand you correctly the next step for you to do is a transaction from your Expresscoin account to your Bitcoin Core (Qt).
To do this select "Receive" in Bitcoin Core and it will give you a address starting with a 1. This address you copy and paste in to your sending page at Expresscoin (I don't know that site, so don't know it's setup and process exactly). Then authorise the transaction and it should show up in your Bitcoin Qt shortly afterwards, depending on how soon blocks are found.
If you are unsure you also can do a test transaction of e.g. 0.01 BTC so see how it works. You will have to pay the miners a small fee every time you do a tx, but in this case, take it as a "tuition fee" for your first bitcoin lesson