Annie, I'm afraid the son's surname is Barrat.
The final letter is not looped, so is a t (uncrossed as per many words in the extracts) and not an l.
Were the third and fourth letters ss, we would see a long-s as the first of the pair. He uses long-s in mid-word positions, as was the custom of the time. Quite a few words contain long-s in beginning or mid-word positions.
You can see the formation of the letter r in many words - for example (from the long extract on the previous page):
Partney, several, pleasure, Executor and security
Timothy's surname is either Hort or ffort. The first example is clearly an H. The others are more ambiguous. I hope Edward has checked for ffort anyway.
