From The Collaborative International Dictionary of English v.0.48:
Mire \Mire\, v. t. [imp. & p. p. Mired (m[imac]rd); p. pr. &
vb. n. Miring.]
[1913 Webster]
1. To cause or permit to stick fast in mire; to plunge or fix
in mud; as, to mire a horse or wagon.
[1913 Webster]
2. Hence: To stick or entangle; to involve in difficulties;
-- often used in the passive or predicate form; as, we got
mired in bureaucratic red tape and it took years longer
than planned.
[PJC]
3. To soil with mud or foul matter.
[1913 Webster]
Smirched thus and mired with infamy. --Shak.
[1913 Webster]