I find it strange that it would be October 5th. The chr.records above Berthe are from Oct 12 (18th S. a. Trin.) and Oct 26 (20th S. a. Trin.) The next date after Berthe is Nov 9 (22nd S. a. Trin.)
Should the chr record be from 02 Nov 1800? (21st S. a. Trin.)?
Is it also not odd that the reference to 17th Tritnitas is the only time that this type of dating is used in the whole year. All of the other dating is by month and day. By date the baptism would be between October 26 and November 2.