Are the surnames Gilruth and Gilroy essentially the same in meaning and origin?

Question

Are the surnames Gilruth and Gilroy essentially the same in meaning and origin?

Answer 1

This is all I could find for the surname "Gilroy",

Gilroy Name Meaning and History

Irish: reduced Anglicized form of Gaelic Mac Giolla Ruaidh ‘son of the red-haired lad’, from ruadh ‘red’. Compare McElroy.

I couldn't find anything for the name "Gilruth", I checked all surname origin sites that I have available to me and the Oxford  Names Companion, there 's nothing in there either.