Eilidh lost by 2 and 1 in the penultimate round to the No 2 seed, Germany's Laura Funfstuck, today.
Eilidh who was one down after 10 holes, was the 14th of the 32 qualifiers for the match-play top flight.
To get to the last four, she beat England's Olivia Winning by two holes, the No 3 seed Nuria Iturrios (Spain) by two holes, and Anyssa Harbaut (France) by 2 and 1 in the quarter-finals.
Funfstuck will play the leading qualifier, Natalia Escuriola (Spain) in Monday's 36-hole final.
Escuriola beat Gabriella Cowley (West Essex), winner of the Scottish Under-16 girls' open title last year, by 4 and 3 in the quarter-finals.
Curtis Cup teenager Bronte Law (Bramhall) will play Jessica Vasilic (Sweden) in the final of the second match-play flight for the Cartier Trophy, also over 36 holes.
Bronte, pictured right by Cal Carson Golf Agency, beat the top seed, Spain's Harang Lee, by 2 holes in the morning quarter-finals.
ESMOND TROPHY (top flight)
Semi-finals - N Escuriola (Spa) beat L Migneaux (Fra) at 19th; L Funfstuck (Ger) beat E Briggs (Sco) 2 and 1.
CARTIER TROPHY (second flight)Semi-finals - B Law (Eng) bt L Harm (Ger) 3 and 2; J Vasilic (Swe) bt E Ambroise (Fra) 4 and 3.
TO VIEW ALL THE RESULTS IN THE MATCH-PLAY TREES