Not being an expert in this field this section may be totally wrong - but all of the examples of arms found for the various Strangeways families seem to be based one common design. Whether this means they are all branches of the same family or if unconnected families have simply copied earlier designs I cannot say.
The coats of arms found all have a common armorial design; two lions with three red bars. The General Armory seems to support these results more...
This sample coats of arms is available as a JPG file for download. It is set up for printing at 300dpi at around A4 size. To view / save just click on the picture
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Strangwais of Lancashire
The ancient family whose estates eventually became the Strangeways district of Manchester. more..
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Strangways of Ireland
The motto "Soys Joyeux et ne Doubte Point" (and its alternative version "Ystoyeux et ne Doublero") have a common meaning - "Be Happy and Doubt Not"
Family tree...
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Swainston-Strangwayes of Alne, Yorkshire
An example of two families combining their arms - 2 quarters for Strangwayes and 2 quarters for Swainston (3 maiden heads).
Family tree...
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Strangways of Harsley, Yorkshire
Armorial desciption - Sable, two lions passant in pale, paly of six argent and gules, in the dexter chief a canton of the second [thanks to YorkshireHistory.com]
Harsley Castle..
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Strangeways-Donaldson-Selby of Northumberland
Arms recorded in the stained glass window of the parish church on Lindisfarne, Northumberland - 2 quarters for Strangeways and 2 quarters for Donaldson-Selby.
Printed pedigree..
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Strangeways-Donaldson-Selby of Northumberland
Another example this time from a bookplate
Printed pedigree..
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