Sorry. Moving on. I'm a bit leery of just tossing vintage stuff in the washing machine until I've cleaned it a few times by hand, so this is how I hand wash gloves.
First, fill a sink with tepid water. Put your gloves in the water and swish them around for a few minutes. Be gentle. Gentle like a bunny. Just doing this can remove a lot of stains from cotton gloves.
Next, repeat, but with gentle soap. Add a bit of soap to the sink when you fill it with water, or gently rub bar soap over the gloves. If there are any stains, rub a bit of soap onto them. Swish the gloves around in the water, gentle like zee bunny, and let soak for 10 - 30 minutes. Then drain and rinse well with cold water.
If you still have stubborn stains, lay your gloves on a flat surface. Mix a small amount of hydrogen peroxide with baking soda. Spoon this mixture onto each stain. Really saturate the stain with it. Go for the gold. Let sit for 5 minutes. Rinse well with cold water. Repeat if necessary.
And finally, if you want dazzlingly white gloves,
And that's that. Now I may wear my gloves with impunity, to go forth and get stained and dirty in some other manner. Huzzah!