The spelling of the name "Linsie" is perhaps not as straightforward as one might expect. The first syllable, "Lin," is pronounced /lɪn/ with a short "i" sound. The second syllable, "sie," is pronounced /siː/ with a long "i" sound. Some might mistakenly spell it with a "z" instead of an "s" - "Linzie" - but that would alter the pronunciation of the second syllable to /ziː/ with a long "e" sound. So, in short, "Linsie" is spelled as it sounds: /lɪnsiː/.