Edit an antique photo effect in Lightroom

At the top of the Tone Curve Panel, you will see four coloured circles: one for the overall point curve, then red, green and blue. You can select any individually, then create points on the white diagonal line below to push the channels around. The most important one here is the blue channel: you need to create a warm yellow feel by creating a line shaped like the one below. Now move to the HSL Panel and tweak your colours until the image has some decent contrast (depending on the colours in your image). Move to the Effects Panel; under Post-Crop Vignetting, set Style to Highlight Priority, Amount to -48 and Midpoint to +87. Leave the other settings as they are. In the Grain section, push Grain to +90, Size to +40 and Roughness to +90. If you want, you could also go down to the Calabiration Panel and move Blue Primary Saturation to -100. This will flatten out the image, for a little more of a vintage touch.