In the case of Insurance Company of North America v. Hibernia Insurance Company, 1890, the U.S Supreme Court was tasked with resolving a dispute between two insurance companies over liability for losses incurred during a voyage insured by both parties. The ship in question had been damaged and required repairs that were covered under policies from both insurers. However, disagreements arose when it came to determining which company should bear responsibility for these costs. The court ruled that each insurer was liable only up to its proportionate share of the total value insured. This meant that if one company's policy covered half of the vessel's value while another’s covered the other half, each would be responsible for an equal portion of any loss or damage sustained during coverage period. This decision established important precedent regarding how multiple insurance policies on a single risk are interpreted and applied in instances where claims exceed policy limits or involve overlapping coverages. It clarified principles governing contribution among co-insurers and affirmed their joint obligation towards indemnifying losses within respective proportions they have undertaken to insure.

In the dissenting opinion for INSURANCE COMPANY OF NORTH AMERICA v. HIBERNIA INSURANCE COMPANY, Justice Lamar argued that the majority's decision was incorrect because it did not properly consider the terms of the insurance contract in question. He believed that under a proper interpretation of this contract, Insurance Company of North America should be held liable for damages to Hibernia Insurance Company. According to him, when an insurer agrees to cover all risks except those specifically excluded by policy language and there is no explicit exclusion mentioned regarding insolvency or financial inability of carrier causing loss or damage, then such losses must fall within coverage scope. The majority's ruling contradicted this principle by excluding from coverage certain types of risk without clear contractual basis for doing so.