Well from a 5 minute wikipedia search I get this.
One source states it was built in response to a US Navy requirement for an anti-shipping rocket capable of hitting ships outside of their anti-aircraft range, with a payload capable of sinking heavy shipping.[1]
Tiny Tim had a 150 lb (68 kg) high explosive warhead, and had a maximum range of 1,500 meters (1,640 yards).
An ambitious operation to use the Tiny Tim against German V-1 sites as part of Operation Crossbow, code-named Project Danny, was planned but cancelled before the squadrons assigned could be deployed to Europe.
No mention of napalm in the whole article. Then again it is wikipedia and I could be wrong. Having no knowledge of the subject, this is what I was able to come up with in about 5 minutes.