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There seems to be an issue with using a weapon and the only natural attack. I found this problem when looking up a ratfolk tailblade, but that has other issues as well. Instead, I'll use:

Human Witch 1; STR 14, INT 18, Prehensile Hair Hex, Dagger
By RAI: Dagger +2 (1d4+2), Hair -1 (1d3+2)
By RAW: Dagger +2 (1d4+2), Hair +4 (1d3+6)

I assume everyone agrees on RAI. Here are the relevant rules for my RAW judgment:
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Prehensile Hair (UM 81): The witch can use her hair...as if it were a limb with a Strength score equal to her Intelligence score. Her hair has reach 10 feet, and she can use it as a secondary natural attack that deals 1d3 points of damage... [Ok, hair is a secondary natural attack, and uses INT instead of STR.]

Natural Attacks (B 302): Secondary attacks are made using the creature's base attack bonus –5 and add only 1/2 the creature's Strength bonus on damage rolls. [As a secondary attack, it hits with -1 (+0 BAB -5 secondary +4 INT) and does +2 (+4 INT x0.5 secondary) damage.]

If a creature has only one natural attack, it is always made using the creature's full base attack bonus and adds 1-1/2 times the creature's Strength bonus on damage rolls. [This is the only natural attack, so ignore the previous section; it's really +4 ((+0 BAB +4 INT) to hit and +6 (+4 INT x1.5) damage. The attack is still secondary.]

Creatures with natural attacks and attacks made with weapons can use both as part of a full attack action.... Such creatures attack with their weapons normally but treat all of their available natural attacks as secondary attacks during that attack, regardless of the attack's original type. [That's what we're doing, so the attack is secondary. This doesn't change anything--the attack was already secondary. The previous clause didn't make the attack primary, it just removed the penalty for a secondary attack and increased the damage.]

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The basic problem is that attacking with weapons and natural attacks doesn't override the only natural attack rule. They use different terms, and those terms don't interact. One possible fix:

"If a creature has only one natural attack, it is treated as a primary attack that adds 1-1/2 times the creature's Strength bonus on damage rolls."

"Creatures with natural attacks and attacks made with weapons can use both as part of a full attack action.... Such creatures attack with their weapons normally but treat all of their available natural attacks as secondary attacks during that attack, regardless of the attack's original type. This overrides any rule that treats the attack as a primary attack (e.g., the one natural attack rule)."