Is there any lodging available such as cabins or a hotel in the park?

Camping is all I saw

At Taylorsville Lake State Park there are only options for primitive camping and horse camping. There is a resort LLC. nearby, but it is not affiliated with Taylorsville Lake State Park, has had mixed reviews over the past 6 months, and is essentially a Bed and Breakfast arrangement.

There is a resort near the Marina

Primitive camping and RV camping in the Park

Cabins up the hill from settlers trace marina.

Yes

There are floating cabins at the marina