Hi
The only William Trotter baptised around the time that you mentioned on the Brick Wall thread ( 1699- 1700) is
7th April 1700, Ladykirk, Berwickshire. Father William Trotter. No mother's name is given. It is the only one with a father William from 1695-1705.
This information should be treated with caution as many of the Scottish parish records do not exist that far back and these would only include those baptised in the established church. Roman Catholic and other non-conformist baptisms would not be included. Though this period is marked by many struggles in the religious affairs of the nation.
Regards
Gadget