Here are threads on that topic:
https://ogrforum.com/...refilling-facilities
https://cs.trains.com/trn/f/740/t/92713.aspx
https://cs.trains.com/mrr/f/13/t/141625.aspx
Online photos of an oil burner being refueled seem to be lacking. I did find this one: Carson and Colorado Railway tourist line. Though maybe not historically accurate, here is UP #8444 being refueled from a tank car in 1980. For reference, here is a Santa Fe Diesel refueling track which should be similar in layout.
Oil tanks were either buried or elevated or both. A boiler house supplying steam to heat the tar-like oil was needed. Fuel columns delivered the oil to the tender. As with coal fired locos, a water tower or column and sand tower was needed, but no ash pit.
Here is a oil fueling facility I built based on the Santa Fe refueling track. I kit bashed it from a K-line tank car and Lionel yard towers. The fuel columns were 3D printed models I bought at a train show. I added the hose for diesel servicing. Selley made a similar column and it is now sold by Arttista. The pump house was scratchbuilt.