The letter from Helen Gahagan Douglas expresses support for bill HR 6340, which aims to liberalize veterans' pensions. The bill would restore full compensation to single disabled veterans while hospitalized, increase pensions by 20% to adjust for the cost of living, and provide additional allowances for dependents of disabled ex-servicemen. The letter from Loren Grey urges Douglas to actively support and vote for the bill, highlighting the importance of providing adequate support for disabled veterans who have served in the war.