Step 1: Understanding the error.
The phrase "Sheela spoke with her father to go to her college" has an error with the word "spoke." In this context, the verb "spoke" is incorrect because "spoke" implies conversation, which is not required when indicating the action of accompanying someone.
Step 2: Correction.
The correct verb here should be "went" as Sheela is accompanying her father to the college.
Step 3: Conclusion.
Thus, the error lies in the word "spoke."
Final Answer: \[ \boxed{\text{Spoke is the incorrect word.}} \]