On the Rockwell vertical milling machine, because of the way its built, lubing the Z (knee) way is very easy so are the Y ways on the table, but the X ways are a chore. Your trying to lube the underside of the table, hardly a clean or effective way IMO.
About 2-3 weeks ago, I saw an inexpensive one-shot lube pump, that ended up being about $50, with shipping and sales tax. While I was waiting for the pump, I disassembled the table off of the mill and proceeded to drill my oil passages, cleaned the way and gib and lube the pieces and reassembled the mill and adjusted the gib.
I ran all of the necessary piping on the mill, made the line orifices and left a flexible whip, to connect to the pump, allowing for the table Y movement. Today, I was working in a yogurt and cottage cheese plant, on arrival home the pump was setting on the kitchen table. The pump was piped for 3/16 tubing, I was running 1/4 tubing, retapped the pump outlet fir 1/8 pipe. I mounted the pump on the mill knee, connected the flexible whip, filled full of Vactra 2 way oil, and gave it 3 pumps and I had oil at the orifice fittings, two more pumps and I had oil on the X ways. So another successful job in the shop.