it says that MacPhaidín (MacFadden) was a "gallowglass" "galloglas" "galloglaich" family. PEDEN, PADIEN, PADIAN, PADDEN, PADYEN, PADEN, PADIN, PADDON, PADIN, SPADDEN are all variations of MacFadden, and were associated with (sept of) Clan MacLEAN/GILLEAN in Scotland. If anyone finds other references to MacPhaidín (MacFadden) being gallowglasses, DO let me know!
CARLOS' and PADIANs in Ireland were fairly close to each other, not necessarily the farm next door, but certainly within their own townland and neighboring townlands. I have found CARLOS' and PADIANs marrying each other, and upon emigrating to the US, showing up in late 18th-century censuses within the same family. Another associated name was GILL.