Need Help To Identify Coins | Ancient Judaean Bronzes

I believe they are indeed both from ancient Judaea, prior to the Roman conquest.

The slightly larger one is a bronze prutah from the reign of John Hyrcanus (134-104 BC). It has a Lily flower on one side and an anchor on the other. Here is an example on Wildwinds.

If you look at the link, you'll see another coin of John's, with crossed cornucopias on one side and text on the other. This is basically the same design as your smaller coin, but there isn't enough left of the reverse design for me to narrow down the ID any further.

Coins like these are often sold as "Widow's Mites"; they're very common for ancient coins. Probably worth something around $5 to $20 each.

Be aware that in Israel, all "antiquities" are property of the State; you're not supposed to export them with our a permit, or sell them to someone who doesn't have a permit. In reality, of course, the authorities aren't going to come down too hard on someone with just two bronze coins; the laws are more aimed at looters and smugglers. But it's something to keep in mind if you decide to sell them.