Drysdale is considered a sept of the Douglas clan, but it is quite likely that this was a separate family which existed previous to when the three Douglas brothers adopted the Drysdale name. A sept is a family that can be related to a clan or larger family for various reasons. Usually this came about either through marriage or by a small family seeking protection from a larger and more powerful neighbour.
William Douglas
Arms of Thomas Drysdale: Argent a saltire and chief azure, four crosses moline gules in the cantons.
Thomas Drysdale was Lyon Depute of The Court of the Lord Lyon, or Lyon Court in 1627
https://en.wikipedia.org/wiki/Lord_Lyon_King_of_Arms
Mar 25
William Douglas
For reference@
https://en.wikipedia.org/wiki/Drysdale,_Victoria
Apr 24
William Douglas
I have just been down the wrong rabbit hole, but still an interesting excursion:
https://www.familysearch.org/en/tree/person/details/P9BR-SK1
Douglas and Drysdale in Northumberland.
Jun 16