I have both ships. On my copy of the "Jolly Roger" on the transom (I think- it's been a couple of years since I've looked at it) I can still see where they removed the original name of the ship. It's La Flore. I have a copy of ' 'The Ship' by Bjorn Landstrom which shows a picture of her & the kit definitely looks like the "Jolly Roger". The book says she was a French frigate from the 1780's. It only has the one picture of her. I would love to find more reference. I think the "Captain Kidd" may be the Wappen von Hamburg, a 17th century German ship. I'm just basing that on a picture of a wooden kit in a Model Expo catalog. Lindberg also released "Blackbeard's pirate ship" which is really amusing since it's the Sovereign of the Seas! Can you imagine a pirate with a 1st rate 100 gun ship of the line? It's not a great kit but the two you have, especially the "Jolly Roger", are quite nice kits. Hope this helps.
Delbert