Cinnamomum camphora? Here is a link that might be useful: Camphor Tree

I think your first tree may be Ulmus glabra 'Lutescens', golden elm. Here is a link that might be useful: Ulmus glabra 'Lutescens', golden elm

Could someone please help identify this tree that we inherited in our herb garden?

Maybe I'm wrong, but it sounds like what you are asking is if it is one of the popular named varieties of which there are many. Here are a few that seem to be most popular right now: Thai Constellation, Borsigniana Variegated (aka "Albo Monstera"), Marmorata, Aurea. To be perfectly honest, I dont think your monstera has enough variegation at this point to tell. It's very low variegation which could indicate that it was never a named variety but a sport variegation. This would be when a regular green Monstera Deliciosa produced a stem with slight variegation and the grower chopped that vine and propagated it to try to see if it would produce more. Since the seller offered no definite identification, At this point, all you can really do is wait and see what the plant does. But I don't think you can officially call it by any of the names since you will never know unless the seller can provide evidence of the mother plant's identification. Just enjoy it for what it is. A monstera deliciosa with some variegation.