Your drier should be on a 30 amp circuit.
Most kitchen stoves draw 40 - 50 amps. If less that 50 amps, the circuit should be on 8ga wire. As it approaches 50 amps, it may be on 6ga. If your stove draws more than 50 amps, 6 ga, 50 amp circuit is required. it looks like your stove circuit is seriously under sized and a fire hazard. Given the time period that he house was built, built in ovens were fashionable with separate built in stove tops. Those would have been on separate circuits with each drawing less power. Chances are when someone remodeled your kitchen, they pulled one of those lines to your stove outlet. Check the plate on the back of your stove for rating. The 220 breaker that you don't know what it is hooked to may be the other kitchen oven/burner line.