\begin{table}%ta2 \par \caption{\label{table.the42s.simbad}USNO-B1 stars towards $\sigma$~Orionis with $\mu_{\rm USNO-B1} > 40$~mas~a$^{-1}$, $J_{\rm 2MASS} < 15.5$~mag, and $N_{\rm USNO-B1} > 3$: alternative names and cluster membership status.} \small%\centering \par \begin{tabular}{c l cccl l l} \hline \hline \noalign{\smallskip} No. & Alternative & [SE2004] & [SWW2004] & [HHM2007] & Discarded\tablefootmark{a} & Previous & Current \\ & name & & & & & member\tablefootmark{b} & member\tablefootmark{b} \\ \hline 01 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 02 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 03 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 04 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 05 & \object{2MASS J05394761--0258593} & ... & ... & ... & Ca08 & No & No \\ % 06 & \object{SO411068} & ... & 202 & ... & Ca06 & No & No \\ % 07 & \object{SO441143} & ... & ... & ... & Ca06 & No & No \\ % 08 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 09 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 10 & \object{[KJN2005] 38} & ... & ... & ... & Ke05 & No & No \\ % 11 & \object{[SWW2004] J053849.560--024526.94} & ... & 101 & 753 & Sa08 & No & No \\ % 12 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 13 & \object{[SWW2004] J053756.467-024357.36} & ... & 116 & 260 & {\em This work} & Yes? & No \\ % 14 & \object{2MASS J05403667--0243469} & ... & ... & ... & Ca08 & No & No \\ % 15 & \object{SO430116} & ... & ... & ... & Ca06 & No & No \\ % 16 & \object{[SWW2004] J053855.425--024129.68} & ... & 71 & 804 & Sa08 & No & No \\ % 17 & \object{[SWW2004] J053705.004--024103.43} & ... & 218 & ... & {\em This work} & Yes? & No \\ % 18 & \object{[SWW2004] J053805.676--024019.36} & ... & 88 & 330 & Sa08 & No & No \\ % 19 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 20 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 21 & \object{[HHM2007] 1354} & ... & ... & 1354 & {\em This work} & Yes? & No \\ % 22 & \object{[SWW2004] J053723.067--023246.38} & ... & 215 & 27 & {\em This work} & No? & No \\ % 23 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 24 & \object{G 99--20} & ... & ... & 74 & Gi61$^{c}$ & No & No \\ % 25 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 26 & \object{2MASS J05391564--0229568} & ... & ... & 961 & Ca08 & No & No \\ % 27 & \object{[HHM2007] 544} & ... & ... & 544 & {\em This work} & Yes? & No \\ % 28 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 29 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 30 & \object{SO120908} & ... & ... & ... & Ca06 & No & No \\ % 31 & \object{[SE2004] 42} & 42 & 204 & ... & Ke05 & No & No \\ % 32 & \object{Mayrit 999306} & ... & ... & 209 & ... & Yes? & Yes? \\ % 33 & \object{[KJN2005] 12} & ... & ... & ... & Ke05\tablefootmark{d} & No & No \\ % 34 & \object{SO241003} & ... & ... & 52 & Ca06 & No & No \\ % 35 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 36 & \object{Mayrit 1493050} & 122 & ... & 1323 & ... & Yes & Yes \\ % 37 & \object{[SWW2004] J053941.738--021946.22} & ... & 206 & ... & {\em This work} & Yes? & No \\ % 38 & ... & ... & ... & ... & {\em This work} & Unknown & No \\ % 39 & \object{[SWW2004] J053725.220--021604.56} & ... & 201 & ... & {\em This work} & Yes? & No \\ % 40 & \object{[SE2004] 57} & 57 & ... & ... & Ke05 & No & No \\ % 41 & \object{[SE2004] 112} & 112 & ... & ... & {\em This work} & Yes? & No \\ % 42 & \object{Mayrit 1610344} & 6 & 228 & ... & ... & Yes? & Yes? \\ \hline \end{tabular} \tablefoot{\tablefoottext{a}{Work in which the cluster membership of the object was firstly discarded: Gi61, Giclas et~al. (1961); Ke05, Kenyon et~al. (2005); Ca06, Caballero (2006); Ca08, Caballero (2008c); Sa08, Sacco et~al. (2008).}\\ \tablefoottext{b}{``Yes'': confirmed cluster member with signatures of youth -- ``Yes?'': cluster member candidate based on photometry -- ``No?'': probable non-cluster member based on photometry -- ``No'': non-cluster member based on spectroscopy, photometry or proper motion -- ``Unknown'': firtsly presented in this paper.}\\ \tablefoottext{c}{Actually, in 1961, the existence of the $\sigma$~Orionis cluster had not been brought up yet.} \\ \tablefoottext{d}{There is independent spectroscopic confirmation of cluster non-membership of the star No.~33, for which Sacco et~al. (2008) measured lithium, radial velocity, low gravity, and H$\alpha$ features inconsistent with membership.} } \end{table}