Yes, that would be a Terrier, also sometimes called the .38/32 Terrier. (That means .38 caliber revolver on the .32 caliber frame.) It dates from not later than 1948, so no model number would be applied to it; those were introduced in 1957. What makes it a 1948 or earlier gun is the shape of the hammer and the single-line "MADE IN USA" address block on the right side.l After 1948, the address block went to four lines and included the Marcas Registradas language.

Can you tell us the first few digits of the serial number? I think this is probably a prewar gun, as the Terrier did not get back into manufacturing until 1949 or 1950, if I recall correctly. The Terrier was introduced in the mid-1930s and production was suspended in 1940 for work on wartime contracts. That one looks to be in very good shape. Congratulations on having it in your possession.

EDITED TO ADD: And the first thing is should have is, "Welcome to the forum."

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David Wilson