I think the second plant may actually be a true chamomile, a relative of pineapple weed and the mayweeds with one exception. Perhaps it has escaped from a neighbors yard by seed. It will naturalize in the right conditions. Okay to feed in small amounts although I’d be surprised if yours ate it.
Only one of the mayweeds is not encouraged: Stinking Mayweed. It wouldn’t be hard to confirm, it will have a strong scent if you crush it. The others are scentless.
Only one of the mayweeds is not encouraged: Stinking Mayweed. It wouldn’t be hard to confirm, it will have a strong scent if you crush it. The others are scentless.