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Greetings and Salutations. If those items are from a book, citing which book and the page number can help us provide more accurate answers.

However, as others have suggested, these sound like homebrew creations (especially since daggers typically deal 1D6 in Palladium Fantasy, but these ones inflict 1D4 ... so maybe a D&D conversion?). If so, any answers provided will be guesses. But since it sounds like you're taking over for a different G.M., judgment calls will need to be made. These are my thoughts ...

Dagger of Lightning: Call Lightning (the Invocation) doesn't have any special effects other than damage. I'd say the same is likely true for this weapon. The main importance for different damage sources here would be possible resistances (such as Impervious to Energy).

Dagger of Venom: My answer would depend on how the weapon uses the "venom."
(a) So, for example, Western Empire (PF book , page 157 has a Venomblade. This effectively just puts an application of a particular type of poison on the blade (up to 3x daily), and the effects/damage are the same as the related poison from the PF2 main book (page 265 is referenced). So the duration would be the same as the mundane poison type used.
(b) On the other hand, if the Dagger of Venom in question applies the effect on EVERY strike, then I'd say the poison damage only lasts a single action. Basically, similar to the Dagger of Lightning in this is just added damage, but the Venom has higher damage potential while simultaneously also having a method to save against it. Whether a successful save negates damage entirely or reduces damage by half is another judgement call, but I'd probably rule in favor of negates entirely (if this were applied per hit).

Those are my initial thoughts, but more information is always helpful when trying to make an informed decision. Right now, I'm just trying to provide educated guesses based on limited information. Hope some of that helps. Farewell and safe journeys.

SirSpamHammer wrote:The player replied....."they do less because of their size
Somewhere it the book it talks about different sizes and dice changes"

Greetings and Salutations. Gnome weapons definitely do less. That's why details are important. For reference, PF2 main book page 269 (bottom of page) talks about different weapon damages based on size. I believe this is probably the most commonly used reference (as it's also the reference for Giant sized weapons). However, there's another reference with a slightly different rule on page 295 (Other Notes, #4). The two rules are slightly different (though there's also some overlap), so you'd have to decide which one you prefer (or which is already in use). For a Gnome, 1D4 fits either a dagger or short sword (for both rulings).

Anyways, just wanted to provide references so you can make informed decisions. Farewell and safe journeys.