Thanks for your suggestions.
I've still not managed to find this family despite knowing that they MUST be somewhere. I've tried under Lee, Hee, Jee, Tea, Tie, all the usual suspects and even Ice (as Tee had been mis-transcribed as that before).
Can anybody think of any reasons why they just don't appear in the census?
Out of interest, Edward Tee had a fair few mentions in the local press because of his business dealings, he was well known in the area. Then nothing after 1845...the next time he shows up anywhere is when his death is registered in 1855.
I'm pulling my hair out over this one