I put "Oil in my lamp" in a Google search. There are a lot of words out there, but very little in attribution. I did find one site that at least tries to provide attributions. A wedding planning guide!

Here are some of the words I found. The fuel & gumption verses never seem to be with the joy, peace, love ones.

Make me fishers of men keep me searching
Give me joy in my heart keep me praising
Give me peace in my heart keep me resting
Give me love in my heart keep me serving
Shed Your Love in My Heart, Keep Me Sharing.
Place Your Peace in My Heart, Keep Me Praising
Place Your Faith in My Heart, Keep Me Trusting
Hide Your Word in My Heart, Keep Me Learning.
Give me fuel in my engine, Keep me flyin' like a Christian.
Give me umption in my gumption, Let me function, function, function.
Give me hot sauce for my taco, let me witness in Morocco.

I found that Singspiration, A.Sevison copyright, but that might just be the arrangement & added verses.

Two UK wedding sites list it as a popular wedding hymn.

Anyone with an old children's hymnal around?