JRSC, I would be a bit leary applying tung oil over baby oil (mineral oil). Perhaps you should do a test piece before applying to your finished work? Mineral oil, the base oil in baby oils, is a petroleum based product. Tung oil, in it's natural form, is plant based. The two oils may not be compatible. Tung oil may not dry properly or harden over the petroleum based product. When I am in doubt as to how a finish might look or react on a piece, I will do a test piece 1st. Before someone smarter than I told me that, I learned the hard way some finishes don't work well together.I have 2 sticks I've applied a few rounds of baby oil to (my son doesn't need it anymore and I wondered what it would do.) over the weekend I believe I might try to finalize my work and put some tung oil on them.