There is an extracted IGI entry for a Margaret Halsal ch 10 Jan 1744 d/o PATRICK Halsal
and a couple of patron submissions for ch 10 Jan 1745 d/o PATRICK Halsal and Isabel Quine

Do you suppose we're dealing with some transcription or translation errors here?

Birth around 1744-5 would be more reasonable for Margaret's birth

Still doesn't help with William

DJD