With advice of some fellows he works with at our local hospital:

Dug around base of fire place as best as he could. He drilled holes in the slab, inserted heavy duty eyebolts into the slab which he epoxyed in. Under which he inserted three hydrolic bottle jacks. Jacked up the 5 inch slab. This closed the 3/4 inch horizontal crack (yes, it grew). Poured high PSI cement around sides, after forming the two areas with wood. Left center empty for the next day, jacks are still in place.

Next day, the crack had opened a bit, jacked it closed, again. Squeezed in a special cement grout on top of areas poured yesterday to prevent (hopefully) any more settlement. He did this with a large cloth bag with a tip/spout (similar to a cake icing bag).

Tomorrow, he'll fill in the center(exact front) area of chimney. Leave area open for a few days, then refill the dirt.

He is expecting some slight resettlement then will grout crack lines on chimney. Plus watch for anymore settlement.

We're going to run a rain gutter across the front of the chimney. This will looked weird, but the chimney isn't visible from street. Florida rains were drenching this area. Will call back the chimney inspector to check it over inside and out to see if it remains a working fireplace. Have them replace the chimney cap. May have them observe a fire in the fireplace to insure all is well.

If this fails, then guess we'll be calling those expensive folks. Wish us luck, $5000 dollars worth!

I'll post pictures before and after. He's finished and will keep you posted.

Not putting gutter across chimney. That was my silly idea and realize it isn't necessary. Chimney holding up, so far. Serious rains on the way, so we'll see...