Some good things mentioned in this thread. There are 700 odd species of eucalypt with a density (in their natural habitat in Australia) ranging from 680kg/m to 1130kg/m air dry density (ADD). Red oak is at 700kg/m (according to wood-database.com). There's huge variability in hardness, ash content, ease of splitting, bark thickness and drying time. All that said, the most common eucalypt planted in the USA is blue gum (e. globulus) and also some red gum. Both in Aus have an ADD of around 900kg/m. I understand that blue gum grown in California is less dense than the trees grown here, the red gum may or may not be since it tends to grow much slower than blue gum anyway.
@Plowboy83 cuts and sells red gum in California and seems to like it. Ash content of blue gum is higher than red gum. Blue gum hardens dramatically as it dries so use semi-chisel if you're cutting dry wood and be prepared to sharpen lots. Cutting it green is much like any other hardwood.
One positive thing is that the climate in Texas is probably closer to that of SE Australia where blue and red gums are common compared to California. The weed-like growth of blue gums (and correspondingly less dense wood) in California might be less pronounced in Texas. If they are straight trunks, they're probably blue gums. On the other hand, people may be less inclined to buy it if they're not familiar with it.
So, specifically (IMHO)...
Is it any good? Yes
How well does it cut and split? Fine to cut when green. Can vary to split by hand but ok if you go around the rings initially
Does it pop when burned? Not as a rule.
Does it burn fast or slow and does it burn hot? Slow burning. I burn it overnight. Plenty of heat.
Can you cook with it? Smells ok when burning but not a cooking wood.
Is there a market for it? I'm pretty sure you'd sell it.
Does it bring a high or low price as firewood? Red gum sells for extravagant prices here, there seems to be some romantic appeal. Blue gum is just as dense but gets chucked in with 'mixed hardwood'. In Texas, could be anything.
Is it rot resistant or does it punk out fast? Red gum fence posts last 20 years in the ground easy. Blue gum probably shorter but will last several years in/on the ground. This tree had been down for 7 years.
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