Horse with energy carrying everyone over street? (8)

I believe the answer is:

galloway

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'horse' is the definition.
(thesaurus)

'energy carrying everyone over street?' is the wordplay.
'energy' becomes 'go' (I've seen this in other clues).
'carrying' means one lot of letters goes inside another.
'everyone' becomes 'all' (I've seen this before).
'over street?' becomes 'way' (street is a kind of way. I am not sure about the 'over' bit.**).
'go' going around 'all' is 'gallo'.
'gallo'+'way'='GALLOWAY'

'with' acts as a link.

Can you help me to learn more?

(Other definitions for galloway that I've seen before include "Area of southwest Scotland" , "Breed of cattle; area of Scotland" , "Scots breed of cattle" , "one belted" , "Scots beef" .)

I've seen this clue in The Telegraph.

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