Alert: Perhaps these refer to Bisset ancestors?  The following names appear referenced in several dozen manuscripts of the Genealogical Office in the NLI in Dublin:
Bisse/Bice - pedigrees (MS 215-219, Anglo-Irish pedigrees I, p.180), 
Bysse/Byse - (MS. 213 Antrim Families, p.152)
Bysses - (as above, p. 154)
These references include coats of arms,  (MS 526), ecclesiastical visitations, will abstracts, funeral entries, etc.
Source McAnlis: . Merry Christmas from London