I visited Mitsukue-jinja while out hiking in the Shijonawate City area. The path I was on took me through to the Midori-no Bunkoen Park and onto Ikomayama. The shrine borders on the urban and rural area of the city.
From the station, where I alight my train, I had to weave my way through some very narrow lanes (if you are hiking this course, the route is well signposted), passing the entrance to Shijonawate-jinja on my way.
After ascending the flight of steps, and passing through the first of two Torii, you arrive at the Chozuya. Once performing the purification ritual, you then pass through the second Torii.
Unfortunately I don't have any information regarding Mitsukue-jinja but, a website I stumble-across hinted that it may have been constructed during the Heian Period.
It's not an enormous complex, nor does it stand out from any other of the small shrines I have frequented on my travels but, like in this image on the left, of a concrete Toro, it's quaint, and is sited in an area where there is a network of hiking tracks. If you are planning on hiking in this area, here is a link to the course I did.