You have two ancient Roman coins there. These kinds of coins are known as "late Roman bronzes", and are the most common kind of ancient coin dug up in Britain and Europe. The slightly larger one is of emperor Constantine the Great, dated sometime in the period 309-337 AD. Around the portrait it says "IMP CONSTANTINVS PF AVG". The other side shows the god Jupiter holding the goddess Victory in his hand, and says "IOVI CONSERVATORI AVGG NN" (Jupiter, protector of the lords, the Emperors). The mintmark looks a bit worn to read, but the Siscia mint (SIS mintmark) is recorded as having this particular variant of the obverse legend; it looks more like SIS than any other option, anyway. Here's an example from
Wildwinds, an ancient coins database:

Your second one is slightly later, in the name of Emperor Valentinian I (DN VALENTINIANVS PF AVG), 364-375 AD, with reverse type the Emperor, standing with a legionary banner, dragging a captive behind him, the words GLORIA ROMANORVM around, looks like Siscia mint again. Here's the
Wildwinds example:

Both coins are fairly common types; probably worth around $5 to $10 in that condition.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis