I would like to clear one thing:
Electrum isn't hodling your bitcoins, it holds the
private keys to control the bitcoins (
inputs) that
technically belongs to you.
Bitcoins are recorded (
stored) in the Blockchain.
Um? I think you don't even need Electrum to do this.Just copy the address you want to know how many coins where deposited to it and paste it in a blockchain explorer to find out the date of deposits and the amounts.
A common blockchain explorer
https://blockchain.info/Edit:Correct me if I'm wrong,I'm not an expert
Yes, you are. But it will troublesome for him to copy-paste->enter each of the addresses.
The easier way is to open it using Electrum (
it's too easy to download and install/open)
Display the address tab and find the addresses with balance, those are the addresses that should be checked on blockexplorer site.
Or use pooyah's link.