I have done a bit of research for you about Excalibur watches but with little real result. The company was responsible for a number of watch models, mainly of the Swiss-made 17-jewel incabloc variety. Their watches included gold examples and ladies watches, and they seem to be of a more "generic" flavour in style. Interestingly, the Excalibur name has been used since the 1960s Excalibur watches like yours were produced, and in this context it refers to ranges of watches by Lucien Piccard as well as by Roger Dubuis. The term also refers to a colourway of watch produced by a company called hOme, and the colour is described as "excalibur grey". So, I think your Excalibur watch is in good company.
Vintage Excalibur watch with 9-carat gold case hallmarked for Edinburgh 1968 and rolled gold Excalibur bracelet. Case size if 32.5mm diameter (not including crown) (pic from antiquesatlas.com):