Your soil is to hard
We had the opposite problem when my mom tried. Hers was to soft and we grew long ass skinny toothpick carrots that was at least a foot or more long each
given most of TX soil is red clay or sand I can see that, Dig up some of that clay, dry it out, then smash it.. mix with soil and then put it back and it should work. Even tiling it won't work as the nutrients aren't there; hence the mix.
We had the opposite problem when my mom tried. Hers was to soft and we grew long ass skinny toothpick carrots that was at least a foot or more long each
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