It's no doubt lead given how you've described it, but there's no way to know 100% sure if it's pure, and exactly what's in it, short of taking it to a laboratory (to have it assayed) and I'm sure you won't do that. Almost no-one (aside from competitive target shooters) needs to know exactly what's in an alloy (we don't know exactly what's in wheelweight), and there are ways to estimate/guess, but even then, what's important is how it behaves in a bullet mold and in the field.
Do you cast now? Do you have any known pure lead, and/or wheelweight, and/or linotype? Can you weight it accurately? Do you have a hardness tester?
Take a piece home. Drop a few bullets from a well-heated mold with the unknown alloy, then some pure lead, then wheelweight, then linotype (if you have it). Mark them and keep them separate. Compare how well they filled out. Weigh them. Test their hardness. The heavier they are, the higher the percentage of lead, and the harder they are, the more non-lead that's in it. Tin will make it a bit harder, but it's antimony and other metals that move it up much more. Its melt temp tells a story too, but is difficult to measure (i.e. what is the temp, and when exactly did it "melt"?).