The correct answer is option 'A' - I, IV, V. The English had their factories in Baroda, Broach, and Ahmedabad on the West coast. Let's discuss each of these places in detail:

I. Baroda:
- Baroda, also known as Vadodara, is located in the western state of Gujarat, India.
- The English East India Company established a factory in Baroda during the 17th century.
- The factory served as a trading center for the English, allowing them to conduct business and establish relations with the local rulers.

IV. Broach:
- Broach, present-day Bharuch, is a city in Gujarat, situated on the banks of the Narmada River.
- The English East India Company had a factory in Broach, which was an important trading center for textiles and spices.
- The factory in Broach played a significant role in expanding English trade and influence in the region.

V. Ahmedabad:
- Ahmedabad is the largest city in Gujarat and has a rich historical and cultural heritage.
- The English East India Company had a factory in Ahmedabad during the 17th century.
- Ahmedabad was an important center for textile production and trade, which attracted the English to establish their presence there.

II. Bassein:
- Bassein, also known as Vasai, is located near Mumbai in Maharashtra, India.
- While Bassein was an important Portuguese settlement during the colonial period, there is no historical evidence of the English having factories there.
- Therefore, Bassein is not one of the places on the West coast where the English had their factories.

III. Salsette:
- Salsette is an island located off the coast of Mumbai, Maharashtra.
- Similar to Bassein, there is no historical evidence of the English having factories in Salsette.
- Therefore, Salsette is not one of the places on the West coast where the English had their factories.

To summarize, the English had their factories in Baroda, Broach, and Ahmedabad on the West coast, making option 'A' the correct answer.