Then sorry and glad to have helped. As far as I can tell, there's no actual equivalent in English; like, you'd still have only one name, e.g.:
"The surname Kilpatrick was first found in Dumfriesshire at Closeburn, a civil parish. The surname was derived from a chapel on a farm in the parish that was once dedicated to Saint Patrick."
https://www.houseofnames.com/kilpatrick-family-crest#Else, you only got something like "called by the name of," although that sounds more like an explanation:
"...And the objection that he is also called by the sirname of Broughton is nothing, for the will does not appoint that the son shall be called by the name of Sampton Shelton only..."
In:
"The Reports of the Most Learned Sir Edmund Saunders
Of Several Pleadings and Cases in the Court of King's Bench, in the Time of the Reign of His Most Excellent Majesty King Charles the Second. [1666-1672]"
Should be Vol. 2 and 2nd edition. You can even download it; an interesting read!
Best