A Christmas Carol / Under the Lake

It's all gone a bit Wibbly Wobbly

Doctor Who: Besieged (2003)

DOCTOR WHO: BESIEGED (2013)
A feature-length Doctor Who / Alien crossover fan film

The Doctor (Ryan Henderick) and his companion Ade [pronounced 'Addie'] (Natalie Clark) are summoned aboard the HMS Archer, a military research vessel in deep space, trapped by an unknown and unstoppable alien force...

Cast also includes Hamish Wilson (the 'other'' Jamie McCrimmon)

https://www.youtube.com/watch?v=_Jy4xMyZJG8 

Wha.. Who said that?

THE DOCTOR SINGS ...Pale Blue Eyes

https://www.youtube.com/watch?v=D4l2TiBV6OM

THE DOCTOR DANCES ... with a Spoon

https://www.youtube.com/watch?v=i5L5rmya3fg

Galileo Figaro

Knitting for Girls

Dr. Who ...

[Click image to enlarge]

THREE on the 6-5

Amanda Grayson's son.

Policeman Pete

Joshua?

The Mind Robber

(A.K.A. Hamish Wilson)

The Master

"A long timey-wimey ago, in a galaxy far far away ..."

Doctor Who Season 10 - Spoilers!

The Doctor's new companion

Davina's father, Sandy, appeared in a Doctor Who story: 'The Unicorn and the Wasp'; and Sandy's Daughter-in Law was also in an episode: 'The Doctor's Daughter'.

We certainly are seeing more Scottish actors in main roles in Doctor Who of late: Peter Capaldi, Michelle Gomez (Missy), Neve McIntosh (Madame Vastra); so a Scottish companion shouldn't come as too much of a surprise.