Spinning jennies were a type of machine used to spin cotton into thread during the industrial revolution. If you're looking for synonyms to use in your writing, try using terms like textile machinery or spinning frames. The term "loom" may also be appropriate, as weaving is the next step after spinning. Depending on the context, you may also want to consider using words like industrial equipment or mechanical devices. Other terms related to the textile industry include cotton mills, weaving mills, and textile factories. Whatever term you choose to use, be sure to provide enough context for your readers to understand exactly what you're referring to.