Actually I can see a case for both Thornich and Thornely.
As you say, it's the last three letters that are not clear.
You can see it has a capital 'T', then the usual 'h' which goes below the line; a blotchy 'o'; then the classic 'r' of this hand, which to us looks like a little 'w'; and then an 'n'.
In Thornich, the next letter could be an 'i' - it has no dot, but there are other 'i's without a dot ; then the classic 'c' in this hand, which to us looks like an 'r'; and finally another 'h', although I think this is unlike his other 'h's somewhat.
In Thornely, the next letter could be a very 'open' 'e' - 'e's were written with a backward loop in this hand - see above this in the Elizabeth of Elizabeth Clark for another open 'e'. This would use up what was the 'i' and 'c' in Thornich; but here there would be then an 'l' and a final 'y' - several of his 'y's lose their top part - see how he has written 'maryed', and he has joined it onto the 'l' beforehand.
Difficult.
Perhaps you would be best to search both names to see if you can make a decision.
But then if you are looking for Thomas Peade, and this is actually Thomas Reade, as Bookbox says, perhaps this is all a red herring anyway!
